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Finding the Fourth Proportional to 16,817.76, 25,229.34 and 5,130

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Solution

The fourth proportional to 16,817.76, 25,229.34 and 5,130 is: 7,695.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,817.76 : 25,229.34 = 5,130 : x
  2. Step 2: Convert to fraction form
    16,817.76/25,229.34 = 5,130/x
  3. Step 3: Cross multiply
    16,817.76x = 25,229.34 × 5,130
  4. Step 4: Simplify right side
    16,817.76x = 129,426,514.20
  5. Step 5: Solve for x
    x = 129,426,514.20/16,817.76
  6. Step 6: Final answer
    x = 7,695.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.