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Finding the Fourth Proportional to 18,807.84, 25,954.25 and 10,309.77

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Solution

The fourth proportional to 18,807.84, 25,954.25 and 10,309.77 is: 14,227.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,807.84 : 25,954.25 = 10,309.77 : x
  2. Step 2: Convert to fraction form
    18,807.84/25,954.25 = 10,309.77/x
  3. Step 3: Cross multiply
    18,807.84x = 25,954.25 × 10,309.77
  4. Step 4: Simplify right side
    18,807.84x = 267,582,348.02
  5. Step 5: Solve for x
    x = 267,582,348.02/18,807.84
  6. Step 6: Final answer
    x = 14,227.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.