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Finding the Fourth Proportional to 16,274.76, 22,459.05 and 9,104.69

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Solution

The fourth proportional to 16,274.76, 22,459.05 and 9,104.69 is: 12,564.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,274.76 : 22,459.05 = 9,104.69 : x
  2. Step 2: Convert to fraction form
    16,274.76/22,459.05 = 9,104.69/x
  3. Step 3: Cross multiply
    16,274.76x = 22,459.05 × 9,104.69
  4. Step 4: Simplify right side
    16,274.76x = 204,482,575.65
  5. Step 5: Solve for x
    x = 204,482,575.65/16,274.76
  6. Step 6: Final answer
    x = 12,564.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.