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Finding the Fourth Proportional to 16,566.48, 22,862.10 and 9,013.32

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Solution

The fourth proportional to 16,566.48, 22,862.10 and 9,013.32 is: 12,438.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,566.48 : 22,862.10 = 9,013.32 : x
  2. Step 2: Convert to fraction form
    16,566.48/22,862.10 = 9,013.32/x
  3. Step 3: Cross multiply
    16,566.48x = 22,862.10 × 9,013.32
  4. Step 4: Simplify right side
    16,566.48x = 206,063,423.17
  5. Step 5: Solve for x
    x = 206,063,423.17/16,566.48
  6. Step 6: Final answer
    x = 12,438.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.