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Finding the Fourth Proportional to 16,377.42, 24,566.13 and 4,065.42

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Solution

The fourth proportional to 16,377.42, 24,566.13 and 4,065.42 is: 6,098.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,377.42 : 24,566.13 = 4,065.42 : x
  2. Step 2: Convert to fraction form
    16,377.42/24,566.13 = 4,065.42/x
  3. Step 3: Cross multiply
    16,377.42x = 24,566.13 × 4,065.42
  4. Step 4: Simplify right side
    16,377.42x = 99,871,636.22
  5. Step 5: Solve for x
    x = 99,871,636.22/16,377.42
  6. Step 6: Final answer
    x = 6,098.13

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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.