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Finding the Fourth Proportional to 17,720.43, 24,453.99 and 9,762.50

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Solution

The fourth proportional to 17,720.43, 24,453.99 and 9,762.50 is: 13,472.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,720.43 : 24,453.99 = 9,762.50 : x
  2. Step 2: Convert to fraction form
    17,720.43/24,453.99 = 9,762.50/x
  3. Step 3: Cross multiply
    17,720.43x = 24,453.99 × 9,762.50
  4. Step 4: Simplify right side
    17,720.43x = 238,731,955.11
  5. Step 5: Solve for x
    x = 238,731,955.11/17,720.43
  6. Step 6: Final answer
    x = 13,472.13

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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.