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Finding the Fourth Proportional to 14,960.52, 22,432.86 and 4,569.48

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Solution

The fourth proportional to 14,960.52, 22,432.86 and 4,569.48 is: 6,851.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,960.52 : 22,432.86 = 4,569.48 : x
  2. Step 2: Convert to fraction form
    14,960.52/22,432.86 = 4,569.48/x
  3. Step 3: Cross multiply
    14,960.52x = 22,432.86 × 4,569.48
  4. Step 4: Simplify right side
    14,960.52x = 102,506,505.11
  5. Step 5: Solve for x
    x = 102,506,505.11/14,960.52
  6. Step 6: Final answer
    x = 6,851.80

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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.