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Finding the Fourth Proportional to 15,130.76, 20,881.23 and 8,416.52

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Solution

The fourth proportional to 15,130.76, 20,881.23 and 8,416.52 is: 11,615.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,130.76 : 20,881.23 = 8,416.52 : x
  2. Step 2: Convert to fraction form
    15,130.76/20,881.23 = 8,416.52/x
  3. Step 3: Cross multiply
    15,130.76x = 20,881.23 × 8,416.52
  4. Step 4: Simplify right side
    15,130.76x = 175,747,342.12
  5. Step 5: Solve for x
    x = 175,747,342.12/15,130.76
  6. Step 6: Final answer
    x = 11,615.23

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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.