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Finding the Fourth Proportional to 18,919.31, 26,108.64 and 10,966.14

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Solution

The fourth proportional to 18,919.31, 26,108.64 and 10,966.14 is: 15,133.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,919.31 : 26,108.64 = 10,966.14 : x
  2. Step 2: Convert to fraction form
    18,919.31/26,108.64 = 10,966.14/x
  3. Step 3: Cross multiply
    18,919.31x = 26,108.64 × 10,966.14
  4. Step 4: Simplify right side
    18,919.31x = 286,311,140.48
  5. Step 5: Solve for x
    x = 286,311,140.48/18,919.31
  6. Step 6: Final answer
    x = 15,133.28

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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.