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Finding the Fourth Proportional to 17,767.59, 24,516.65 and 10,214.24

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Solution

The fourth proportional to 17,767.59, 24,516.65 and 10,214.24 is: 14,094.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,767.59 : 24,516.65 = 10,214.24 : x
  2. Step 2: Convert to fraction form
    17,767.59/24,516.65 = 10,214.24/x
  3. Step 3: Cross multiply
    17,767.59x = 24,516.65 × 10,214.24
  4. Step 4: Simplify right side
    17,767.59x = 250,418,947.10
  5. Step 5: Solve for x
    x = 250,418,947.10/17,767.59
  6. Step 6: Final answer
    x = 14,094.14

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