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Finding the Fourth Proportional to 16,005.90, 22,087.80 and 8,932.17

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Solution

The fourth proportional to 16,005.90, 22,087.80 and 8,932.17 is: 12,326.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,005.90 : 22,087.80 = 8,932.17 : x
  2. Step 2: Convert to fraction form
    16,005.90/22,087.80 = 8,932.17/x
  3. Step 3: Cross multiply
    16,005.90x = 22,087.80 × 8,932.17
  4. Step 4: Simplify right side
    16,005.90x = 197,291,984.53
  5. Step 5: Solve for x
    x = 197,291,984.53/16,005.90
  6. Step 6: Final answer
    x = 12,326.20

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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.