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Finding the Fourth Proportional to 16,308, 22,503.06 and 9,234.18

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Solution

The fourth proportional to 16,308, 22,503.06 and 9,234.18 is: 12,742.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,308 : 22,503.06 = 9,234.18 : x
  2. Step 2: Convert to fraction form
    16,308/22,503.06 = 9,234.18/x
  3. Step 3: Cross multiply
    16,308x = 22,503.06 × 9,234.18
  4. Step 4: Simplify right side
    16,308x = 207,797,306.59
  5. Step 5: Solve for x
    x = 207,797,306.59/16,308
  6. Step 6: Final answer
    x = 12,742.05

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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.