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Finding the Fourth Proportional to 28,102.63, 38,781.65 and 15,527.38

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Solution

The fourth proportional to 28,102.63, 38,781.65 and 15,527.38 is: 21,427.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,102.63 : 38,781.65 = 15,527.38 : x
  2. Step 2: Convert to fraction form
    28,102.63/38,781.65 = 15,527.38/x
  3. Step 3: Cross multiply
    28,102.63x = 38,781.65 × 15,527.38
  4. Step 4: Simplify right side
    28,102.63x = 602,177,145.03
  5. Step 5: Solve for x
    x = 602,177,145.03/28,102.63
  6. Step 6: Final answer
    x = 21,427.79

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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.