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Finding the Fourth Proportional to 15,149.13, 20,903.46 and 8,434.74

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Solution

The fourth proportional to 15,149.13, 20,903.46 and 8,434.74 is: 11,638.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,149.13 : 20,903.46 = 8,434.74 : x
  2. Step 2: Convert to fraction form
    15,149.13/20,903.46 = 8,434.74/x
  3. Step 3: Cross multiply
    15,149.13x = 20,903.46 × 8,434.74
  4. Step 4: Simplify right side
    15,149.13x = 176,315,250.20
  5. Step 5: Solve for x
    x = 176,315,250.20/15,149.13
  6. Step 6: Final answer
    x = 11,638.64

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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.