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Finding the Fourth Proportional to 16,094.76, 24,145.30 and 7,780.52

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Solution

The fourth proportional to 16,094.76, 24,145.30 and 7,780.52 is: 11,672.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,094.76 : 24,145.30 = 7,780.52 : x
  2. Step 2: Convert to fraction form
    16,094.76/24,145.30 = 7,780.52/x
  3. Step 3: Cross multiply
    16,094.76x = 24,145.30 × 7,780.52
  4. Step 4: Simplify right side
    16,094.76x = 187,862,989.56
  5. Step 5: Solve for x
    x = 187,862,989.56/16,094.76
  6. Step 6: Final answer
    x = 11,672.31

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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.