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Finding the Fourth Proportional to 17,663.98, 24,376.28 and 9,705.94

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Solution

The fourth proportional to 17,663.98, 24,376.28 and 9,705.94 is: 13,394.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,663.98 : 24,376.28 = 9,705.94 : x
  2. Step 2: Convert to fraction form
    17,663.98/24,376.28 = 9,705.94/x
  3. Step 3: Cross multiply
    17,663.98x = 24,376.28 × 9,705.94
  4. Step 4: Simplify right side
    17,663.98x = 236,594,711.10
  5. Step 5: Solve for x
    x = 236,594,711.10/17,663.98
  6. Step 6: Final answer
    x = 13,394.19

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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.