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Finding the Fourth Proportional to 15,130.92, 20,878.26 and 8,416.53

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Solution

The fourth proportional to 15,130.92, 20,878.26 and 8,416.53 is: 11,613.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,130.92 : 20,878.26 = 8,416.53 : x
  2. Step 2: Convert to fraction form
    15,130.92/20,878.26 = 8,416.53/x
  3. Step 3: Cross multiply
    15,130.92x = 20,878.26 × 8,416.53
  4. Step 4: Simplify right side
    15,130.92x = 175,722,501.64
  5. Step 5: Solve for x
    x = 175,722,501.64/15,130.92
  6. Step 6: Final answer
    x = 11,613.47

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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.