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Finding the Fourth Proportional to 17,702.48, 24,429.50 and 10,148.98

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Solution

The fourth proportional to 17,702.48, 24,429.50 and 10,148.98 is: 14,005.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,702.48 : 24,429.50 = 10,148.98 : x
  2. Step 2: Convert to fraction form
    17,702.48/24,429.50 = 10,148.98/x
  3. Step 3: Cross multiply
    17,702.48x = 24,429.50 × 10,148.98
  4. Step 4: Simplify right side
    17,702.48x = 247,934,395.09
  5. Step 5: Solve for x
    x = 247,934,395.09/17,702.48
  6. Step 6: Final answer
    x = 14,005.63

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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.