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Finding the Fourth Proportional to 16,314, 24,471 and 7,080

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Solution

The fourth proportional to 16,314, 24,471 and 7,080 is: 10,620

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,314 : 24,471 = 7,080 : x
  2. Step 2: Convert to fraction form
    16,314/24,471 = 7,080/x
  3. Step 3: Cross multiply
    16,314x = 24,471 × 7,080
  4. Step 4: Simplify right side
    16,314x = 173,254,680
  5. Step 5: Solve for x
    x = 173,254,680/16,314
  6. Step 6: Final answer
    x = 10,620

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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.