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Finding the Fourth Proportional to 16,040, 24,056.80 and 5,652.16

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Solution

The fourth proportional to 16,040, 24,056.80 and 5,652.16 is: 8,477.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,040 : 24,056.80 = 5,652.16 : x
  2. Step 2: Convert to fraction form
    16,040/24,056.80 = 5,652.16/x
  3. Step 3: Cross multiply
    16,040x = 24,056.80 × 5,652.16
  4. Step 4: Simplify right side
    16,040x = 135,972,882.69
  5. Step 5: Solve for x
    x = 135,972,882.69/16,040
  6. Step 6: Final answer
    x = 8,477.11

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Why These Related Problems?

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