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Finding the Fourth Proportional to 16,580.16, 24,871.48 and 5,494.68

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Solution

The fourth proportional to 16,580.16, 24,871.48 and 5,494.68 is: 8,242.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,580.16 : 24,871.48 = 5,494.68 : x
  2. Step 2: Convert to fraction form
    16,580.16/24,871.48 = 5,494.68/x
  3. Step 3: Cross multiply
    16,580.16x = 24,871.48 × 5,494.68
  4. Step 4: Simplify right side
    16,580.16x = 136,660,823.73
  5. Step 5: Solve for x
    x = 136,660,823.73/16,580.16
  6. Step 6: Final answer
    x = 8,242.43

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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.