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Finding the Fourth Proportional to 16,294.61, 22,486.38 and 9,221.01

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Solution

The fourth proportional to 16,294.61, 22,486.38 and 9,221.01 is: 12,724.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,294.61 : 22,486.38 = 9,221.01 : x
  2. Step 2: Convert to fraction form
    16,294.61/22,486.38 = 9,221.01/x
  3. Step 3: Cross multiply
    16,294.61x = 22,486.38 × 9,221.01
  4. Step 4: Simplify right side
    16,294.61x = 207,347,134.84
  5. Step 5: Solve for x
    x = 207,347,134.84/16,294.61
  6. Step 6: Final answer
    x = 12,724.89

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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.