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Finding the Fourth Proportional to 27,869.76, 38,458.80 and 15,931.52

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Solution

The fourth proportional to 27,869.76, 38,458.80 and 15,931.52 is: 21,984.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,869.76 : 38,458.80 = 15,931.52 : x
  2. Step 2: Convert to fraction form
    27,869.76/38,458.80 = 15,931.52/x
  3. Step 3: Cross multiply
    27,869.76x = 38,458.80 × 15,931.52
  4. Step 4: Simplify right side
    27,869.76x = 612,707,141.38
  5. Step 5: Solve for x
    x = 612,707,141.38/27,869.76
  6. Step 6: Final answer
    x = 21,984.66

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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.