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Finding the Fourth Proportional to 13,602.53, 20,406.41 and 4,717.52

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Solution

The fourth proportional to 13,602.53, 20,406.41 and 4,717.52 is: 7,077.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,602.53 : 20,406.41 = 4,717.52 : x
  2. Step 2: Convert to fraction form
    13,602.53/20,406.41 = 4,717.52/x
  3. Step 3: Cross multiply
    13,602.53x = 20,406.41 × 4,717.52
  4. Step 4: Simplify right side
    13,602.53x = 96,267,545.24
  5. Step 5: Solve for x
    x = 96,267,545.24/13,602.53
  6. Step 6: Final answer
    x = 7,077.18

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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.