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Finding the Fourth Proportional to 13,613.16, 20,415.42 and 4,377

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Solution

The fourth proportional to 13,613.16, 20,415.42 and 4,377 is: 6,564.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,613.16 : 20,415.42 = 4,377 : x
  2. Step 2: Convert to fraction form
    13,613.16/20,415.42 = 4,377/x
  3. Step 3: Cross multiply
    13,613.16x = 20,415.42 × 4,377
  4. Step 4: Simplify right side
    13,613.16x = 89,358,293.34
  5. Step 5: Solve for x
    x = 89,358,293.34/13,613.16
  6. Step 6: Final answer
    x = 6,564.11

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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.