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Finding the Fourth Proportional to 13,602.32, 20,402.87 and 5,702.79

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Solution

The fourth proportional to 13,602.32, 20,402.87 and 5,702.79 is: 8,553.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,602.32 : 20,402.87 = 5,702.79 : x
  2. Step 2: Convert to fraction form
    13,602.32/20,402.87 = 5,702.79/x
  3. Step 3: Cross multiply
    13,602.32x = 20,402.87 × 5,702.79
  4. Step 4: Simplify right side
    13,602.32x = 116,353,254.49
  5. Step 5: Solve for x
    x = 116,353,254.49/13,602.32
  6. Step 6: Final answer
    x = 8,553.93

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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.