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Finding the Fourth Proportional to 15,130.92, 20,879.55 and 8,416.23

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Solution

The fourth proportional to 15,130.92, 20,879.55 and 8,416.23 is: 11,613.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,130.92 : 20,879.55 = 8,416.23 : x
  2. Step 2: Convert to fraction form
    15,130.92/20,879.55 = 8,416.23/x
  3. Step 3: Cross multiply
    15,130.92x = 20,879.55 × 8,416.23
  4. Step 4: Simplify right side
    15,130.92x = 175,727,095.10
  5. Step 5: Solve for x
    x = 175,727,095.10/15,130.92
  6. Step 6: Final answer
    x = 11,613.77

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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.