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Finding the Fourth Proportional to 17,702.54, 24,429.36 and 10,148.88

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Solution

The fourth proportional to 17,702.54, 24,429.36 and 10,148.88 is: 14,005.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,702.54 : 24,429.36 = 10,148.88 : x
  2. Step 2: Convert to fraction form
    17,702.54/24,429.36 = 10,148.88/x
  3. Step 3: Cross multiply
    17,702.54x = 24,429.36 × 10,148.88
  4. Step 4: Simplify right side
    17,702.54x = 247,930,643.12
  5. Step 5: Solve for x
    x = 247,930,643.12/17,702.54
  6. Step 6: Final answer
    x = 14,005.37

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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.