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Finding the Fourth Proportional to 18,809.24, 25,955.32 and 10,310

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Solution

The fourth proportional to 18,809.24, 25,955.32 and 10,310 is: 14,227.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,809.24 : 25,955.32 = 10,310 : x
  2. Step 2: Convert to fraction form
    18,809.24/25,955.32 = 10,310/x
  3. Step 3: Cross multiply
    18,809.24x = 25,955.32 × 10,310
  4. Step 4: Simplify right side
    18,809.24x = 267,599,349.20
  5. Step 5: Solve for x
    x = 267,599,349.20/18,809.24
  6. Step 6: Final answer
    x = 14,227.02

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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.