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Finding the Fourth Proportional to 17,720.12, 24,454.87 and 9,762.34

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Solution

The fourth proportional to 17,720.12, 24,454.87 and 9,762.34 is: 13,472.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,720.12 : 24,454.87 = 9,762.34 : x
  2. Step 2: Convert to fraction form
    17,720.12/24,454.87 = 9,762.34/x
  3. Step 3: Cross multiply
    17,720.12x = 24,454.87 × 9,762.34
  4. Step 4: Simplify right side
    17,720.12x = 238,736,761.76
  5. Step 5: Solve for x
    x = 238,736,761.76/17,720.12
  6. Step 6: Final answer
    x = 13,472.64

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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.