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Finding the Fourth Proportional to 17,931.10, 24,744.56 and 9,973.15

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Solution

The fourth proportional to 17,931.10, 24,744.56 and 9,973.15 is: 13,762.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,931.10 : 24,744.56 = 9,973.15 : x
  2. Step 2: Convert to fraction form
    17,931.10/24,744.56 = 9,973.15/x
  3. Step 3: Cross multiply
    17,931.10x = 24,744.56 × 9,973.15
  4. Step 4: Simplify right side
    17,931.10x = 246,781,208.56
  5. Step 5: Solve for x
    x = 246,781,208.56/17,931.10
  6. Step 6: Final answer
    x = 13,762.75

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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.