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Finding the Fourth Proportional to 17,702.64, 24,430.22 and 10,150.40

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Solution

The fourth proportional to 17,702.64, 24,430.22 and 10,150.40 is: 14,007.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,702.64 : 24,430.22 = 10,150.40 : x
  2. Step 2: Convert to fraction form
    17,702.64/24,430.22 = 10,150.40/x
  3. Step 3: Cross multiply
    17,702.64x = 24,430.22 × 10,150.40
  4. Step 4: Simplify right side
    17,702.64x = 247,976,505.09
  5. Step 5: Solve for x
    x = 247,976,505.09/17,702.64
  6. Step 6: Final answer
    x = 14,007.88

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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.