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Finding the Fourth Proportional to 17,710, 24,439.80 and 9,752.21

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Solution

The fourth proportional to 17,710, 24,439.80 and 9,752.21 is: 13,458.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,710 : 24,439.80 = 9,752.21 : x
  2. Step 2: Convert to fraction form
    17,710/24,439.80 = 9,752.21/x
  3. Step 3: Cross multiply
    17,710x = 24,439.80 × 9,752.21
  4. Step 4: Simplify right side
    17,710x = 238,342,061.96
  5. Step 5: Solve for x
    x = 238,342,061.96/17,710
  6. Step 6: Final answer
    x = 13,458.05

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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.