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Finding the Fourth Proportional to 28,012.32, 38,658.24 and 15,438.24

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Solution

The fourth proportional to 28,012.32, 38,658.24 and 15,438.24 is: 21,305.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,012.32 : 38,658.24 = 15,438.24 : x
  2. Step 2: Convert to fraction form
    28,012.32/38,658.24 = 15,438.24/x
  3. Step 3: Cross multiply
    28,012.32x = 38,658.24 × 15,438.24
  4. Step 4: Simplify right side
    28,012.32x = 596,815,187.10
  5. Step 5: Solve for x
    x = 596,815,187.10/28,012.32
  6. Step 6: Final answer
    x = 21,305.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.