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Finding the Fourth Proportional to 17,710.92, 24,463.01 and 12,857.90

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Solution

The fourth proportional to 17,710.92, 24,463.01 and 12,857.90 is: 17,759.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,710.92 : 24,463.01 = 12,857.90 : x
  2. Step 2: Convert to fraction form
    17,710.92/24,463.01 = 12,857.90/x
  3. Step 3: Cross multiply
    17,710.92x = 24,463.01 × 12,857.90
  4. Step 4: Simplify right side
    17,710.92x = 314,543,018.11
  5. Step 5: Solve for x
    x = 314,543,018.11/17,710.92
  6. Step 6: Final answer
    x = 17,759.84

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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.