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Finding the Fourth Proportional to 17,663.90, 24,376.05 and 9,597.49

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Solution

The fourth proportional to 17,663.90, 24,376.05 and 9,597.49 is: 13,244.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,663.90 : 24,376.05 = 9,597.49 : x
  2. Step 2: Convert to fraction form
    17,663.90/24,376.05 = 9,597.49/x
  3. Step 3: Cross multiply
    17,663.90x = 24,376.05 × 9,597.49
  4. Step 4: Simplify right side
    17,663.90x = 233,948,835.17
  5. Step 5: Solve for x
    x = 233,948,835.17/17,663.90
  6. Step 6: Final answer
    x = 13,244.46

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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.