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Finding the Fourth Proportional to 27,685.80, 38,206 and 15,109.72

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Solution

The fourth proportional to 27,685.80, 38,206 and 15,109.72 is: 20,851.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,685.80 : 38,206 = 15,109.72 : x
  2. Step 2: Convert to fraction form
    27,685.80/38,206 = 15,109.72/x
  3. Step 3: Cross multiply
    27,685.80x = 38,206 × 15,109.72
  4. Step 4: Simplify right side
    27,685.80x = 577,281,962.32
  5. Step 5: Solve for x
    x = 577,281,962.32/27,685.80
  6. Step 6: Final answer
    x = 20,851.19

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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.