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Finding the Fourth Proportional to 16,002.86, 22,083.49 and 8,929.13

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Solution

The fourth proportional to 16,002.86, 22,083.49 and 8,929.13 is: 12,321.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,002.86 : 22,083.49 = 8,929.13 : x
  2. Step 2: Convert to fraction form
    16,002.86/22,083.49 = 8,929.13/x
  3. Step 3: Cross multiply
    16,002.86x = 22,083.49 × 8,929.13
  4. Step 4: Simplify right side
    16,002.86x = 197,186,385.95
  5. Step 5: Solve for x
    x = 197,186,385.95/16,002.86
  6. Step 6: Final answer
    x = 12,321.94

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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.