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Finding the Fourth Proportional to 15,130.28, 20,879.74 and 8,416.60

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Solution

The fourth proportional to 15,130.28, 20,879.74 and 8,416.60 is: 11,614.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,130.28 : 20,879.74 = 8,416.60 : x
  2. Step 2: Convert to fraction form
    15,130.28/20,879.74 = 8,416.60/x
  3. Step 3: Cross multiply
    15,130.28x = 20,879.74 × 8,416.60
  4. Step 4: Simplify right side
    15,130.28x = 175,736,419.68
  5. Step 5: Solve for x
    x = 175,736,419.68/15,130.28
  6. Step 6: Final answer
    x = 11,614.88

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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.