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Finding the Fourth Proportional to 13,702.56, 20,534.40 and 10,013.28

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Solution

The fourth proportional to 13,702.56, 20,534.40 and 10,013.28 is: 15,005.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702.56 : 20,534.40 = 10,013.28 : x
  2. Step 2: Convert to fraction form
    13,702.56/20,534.40 = 10,013.28/x
  3. Step 3: Cross multiply
    13,702.56x = 20,534.40 × 10,013.28
  4. Step 4: Simplify right side
    13,702.56x = 205,616,696.83
  5. Step 5: Solve for x
    x = 205,616,696.83/13,702.56
  6. Step 6: Final answer
    x = 15,005.71

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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.