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Finding the Fourth Proportional to 20,567.52, 30,838.48 and 9,460

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Solution

The fourth proportional to 20,567.52, 30,838.48 and 9,460 is: 14,184.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,567.52 : 30,838.48 = 9,460 : x
  2. Step 2: Convert to fraction form
    20,567.52/30,838.48 = 9,460/x
  3. Step 3: Cross multiply
    20,567.52x = 30,838.48 × 9,460
  4. Step 4: Simplify right side
    20,567.52x = 291,732,020.80
  5. Step 5: Solve for x
    x = 291,732,020.80/20,567.52
  6. Step 6: Final answer
    x = 14,184.11

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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.