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Finding the Fourth Proportional to 17,663.40, 24,374.70 and 10,109.34

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Solution

The fourth proportional to 17,663.40, 24,374.70 and 10,109.34 is: 13,950.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,663.40 : 24,374.70 = 10,109.34 : x
  2. Step 2: Convert to fraction form
    17,663.40/24,374.70 = 10,109.34/x
  3. Step 3: Cross multiply
    17,663.40x = 24,374.70 × 10,109.34
  4. Step 4: Simplify right side
    17,663.40x = 246,412,129.70
  5. Step 5: Solve for x
    x = 246,412,129.70/17,663.40
  6. Step 6: Final answer
    x = 13,950.44

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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.