Home / 16,023-24,043.14-7,815

Finding the Fourth Proportional to 16,023, 24,043.14 and 7,815

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Solution

The fourth proportional to 16,023, 24,043.14 and 7,815 is: 11,726.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,023 : 24,043.14 = 7,815 : x
  2. Step 2: Convert to fraction form
    16,023/24,043.14 = 7,815/x
  3. Step 3: Cross multiply
    16,023x = 24,043.14 × 7,815
  4. Step 4: Simplify right side
    16,023x = 187,897,139.10
  5. Step 5: Solve for x
    x = 187,897,139.10/16,023
  6. Step 6: Final answer
    x = 11,726.71

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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.