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Finding the Fourth Proportional to 27,077.65, 37,367.80 and 15,140.88

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Solution

The fourth proportional to 27,077.65, 37,367.80 and 15,140.88 is: 20,894.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,077.65 : 37,367.80 = 15,140.88 : x
  2. Step 2: Convert to fraction form
    27,077.65/37,367.80 = 15,140.88/x
  3. Step 3: Cross multiply
    27,077.65x = 37,367.80 × 15,140.88
  4. Step 4: Simplify right side
    27,077.65x = 565,781,337.81
  5. Step 5: Solve for x
    x = 565,781,337.81/27,077.65
  6. Step 6: Final answer
    x = 20,894.77

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