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Finding the Fourth Proportional to 13,702.69, 20,549.85 and 7,125.28

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Solution

The fourth proportional to 13,702.69, 20,549.85 and 7,125.28 is: 10,685.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702.69 : 20,549.85 = 7,125.28 : x
  2. Step 2: Convert to fraction form
    13,702.69/20,549.85 = 7,125.28/x
  3. Step 3: Cross multiply
    13,702.69x = 20,549.85 × 7,125.28
  4. Step 4: Simplify right side
    13,702.69x = 146,423,512.79
  5. Step 5: Solve for x
    x = 146,423,512.79/13,702.69
  6. Step 6: Final answer
    x = 10,685.75

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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.