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Finding the Fourth Proportional to 28,113.38, 38,796.47 and 15,538.13

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Solution

The fourth proportional to 28,113.38, 38,796.47 and 15,538.13 is: 21,442.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,113.38 : 38,796.47 = 15,538.13 : x
  2. Step 2: Convert to fraction form
    28,113.38/38,796.47 = 15,538.13/x
  3. Step 3: Cross multiply
    28,113.38x = 38,796.47 × 15,538.13
  4. Step 4: Simplify right side
    28,113.38x = 602,824,322.73
  5. Step 5: Solve for x
    x = 602,824,322.73/28,113.38
  6. Step 6: Final answer
    x = 21,442.62

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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.