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Finding the Fourth Proportional to 16,076, 24,113.84 and 4,389.22

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Solution

The fourth proportional to 16,076, 24,113.84 and 4,389.22 is: 6,583.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,076 : 24,113.84 = 4,389.22 : x
  2. Step 2: Convert to fraction form
    16,076/24,113.84 = 4,389.22/x
  3. Step 3: Cross multiply
    16,076x = 24,113.84 × 4,389.22
  4. Step 4: Simplify right side
    16,076x = 105,840,948.80
  5. Step 5: Solve for x
    x = 105,840,948.80/16,076
  6. Step 6: Final answer
    x = 6,583.79

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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.