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Finding the Fourth Proportional to 13,602.30, 20,398.81 and 4,715.55

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Solution

The fourth proportional to 13,602.30, 20,398.81 and 4,715.55 is: 7,071.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,602.30 : 20,398.81 = 4,715.55 : x
  2. Step 2: Convert to fraction form
    13,602.30/20,398.81 = 4,715.55/x
  3. Step 3: Cross multiply
    13,602.30x = 20,398.81 × 4,715.55
  4. Step 4: Simplify right side
    13,602.30x = 96,191,608.50
  5. Step 5: Solve for x
    x = 96,191,608.50/13,602.30
  6. Step 6: Final answer
    x = 7,071.72

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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.