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Finding the Fourth Proportional to 23,702.28, 35,522.64 and 9,645.92

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Solution

The fourth proportional to 23,702.28, 35,522.64 and 9,645.92 is: 14,456.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,702.28 : 35,522.64 = 9,645.92 : x
  2. Step 2: Convert to fraction form
    23,702.28/35,522.64 = 9,645.92/x
  3. Step 3: Cross multiply
    23,702.28x = 35,522.64 × 9,645.92
  4. Step 4: Simplify right side
    23,702.28x = 342,648,543.63
  5. Step 5: Solve for x
    x = 342,648,543.63/23,702.28
  6. Step 6: Final answer
    x = 14,456.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.