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Finding the Fourth Proportional to 27,652.16, 38,160 and 15,077.12

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Solution

The fourth proportional to 27,652.16, 38,160 and 15,077.12 is: 20,806.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,652.16 : 38,160 = 15,077.12 : x
  2. Step 2: Convert to fraction form
    27,652.16/38,160 = 15,077.12/x
  3. Step 3: Cross multiply
    27,652.16x = 38,160 × 15,077.12
  4. Step 4: Simplify right side
    27,652.16x = 575,342,899.20
  5. Step 5: Solve for x
    x = 575,342,899.20/27,652.16
  6. Step 6: Final answer
    x = 20,806.44

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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.