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Finding the Fourth Proportional to 17,710.66, 24,440.75 and 9,752.90

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Solution

The fourth proportional to 17,710.66, 24,440.75 and 9,752.90 is: 13,459.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,710.66 : 24,440.75 = 9,752.90 : x
  2. Step 2: Convert to fraction form
    17,710.66/24,440.75 = 9,752.90/x
  3. Step 3: Cross multiply
    17,710.66x = 24,440.75 × 9,752.90
  4. Step 4: Simplify right side
    17,710.66x = 238,368,019.71
  5. Step 5: Solve for x
    x = 238,368,019.71/17,710.66
  6. Step 6: Final answer
    x = 13,459.02

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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.