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Finding the Fourth Proportional to 16,102.46, 24,150.62 and 5,009.29

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Solution

The fourth proportional to 16,102.46, 24,150.62 and 5,009.29 is: 7,512.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,102.46 : 24,150.62 = 5,009.29 : x
  2. Step 2: Convert to fraction form
    16,102.46/24,150.62 = 5,009.29/x
  3. Step 3: Cross multiply
    16,102.46x = 24,150.62 × 5,009.29
  4. Step 4: Simplify right side
    16,102.46x = 120,977,411.41
  5. Step 5: Solve for x
    x = 120,977,411.41/16,102.46
  6. Step 6: Final answer
    x = 7,512.98

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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.