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Finding the Fourth Proportional to 15,284.60, 22,905.30 and 9,423.80

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Solution

The fourth proportional to 15,284.60, 22,905.30 and 9,423.80 is: 14,122.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,284.60 : 22,905.30 = 9,423.80 : x
  2. Step 2: Convert to fraction form
    15,284.60/22,905.30 = 9,423.80/x
  3. Step 3: Cross multiply
    15,284.60x = 22,905.30 × 9,423.80
  4. Step 4: Simplify right side
    15,284.60x = 215,854,966.14
  5. Step 5: Solve for x
    x = 215,854,966.14/15,284.60
  6. Step 6: Final answer
    x = 14,122.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.