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Finding the Fourth Proportional to 24,892.10, 34,356.13 and 14,288.98

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Solution

The fourth proportional to 24,892.10, 34,356.13 and 14,288.98 is: 19,721.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,892.10 : 34,356.13 = 14,288.98 : x
  2. Step 2: Convert to fraction form
    24,892.10/34,356.13 = 14,288.98/x
  3. Step 3: Cross multiply
    24,892.10x = 34,356.13 × 14,288.98
  4. Step 4: Simplify right side
    24,892.10x = 490,914,054.45
  5. Step 5: Solve for x
    x = 490,914,054.45/24,892.10
  6. Step 6: Final answer
    x = 19,721.68

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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.