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Finding the Fourth Proportional to 13,702.88, 20,546.56 and 4,341.12

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Solution

The fourth proportional to 13,702.88, 20,546.56 and 4,341.12 is: 6,509.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702.88 : 20,546.56 = 4,341.12 : x
  2. Step 2: Convert to fraction form
    13,702.88/20,546.56 = 4,341.12/x
  3. Step 3: Cross multiply
    13,702.88x = 20,546.56 × 4,341.12
  4. Step 4: Simplify right side
    13,702.88x = 89,195,082.55
  5. Step 5: Solve for x
    x = 89,195,082.55/13,702.88
  6. Step 6: Final answer
    x = 6,509.22

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Why These Related Problems?

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