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Finding the Fourth Proportional to 16,326.61, 22,532.07 and 9,156.40

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Solution

The fourth proportional to 16,326.61, 22,532.07 and 9,156.40 is: 12,636.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,326.61 : 22,532.07 = 9,156.40 : x
  2. Step 2: Convert to fraction form
    16,326.61/22,532.07 = 9,156.40/x
  3. Step 3: Cross multiply
    16,326.61x = 22,532.07 × 9,156.40
  4. Step 4: Simplify right side
    16,326.61x = 206,312,645.75
  5. Step 5: Solve for x
    x = 206,312,645.75/16,326.61
  6. Step 6: Final answer
    x = 12,636.59

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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.