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Finding the Fourth Proportional to 27,784.60, 38,233.48 and 25,135

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Solution

The fourth proportional to 27,784.60, 38,233.48 and 25,135 is: 34,587.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,784.60 : 38,233.48 = 25,135 : x
  2. Step 2: Convert to fraction form
    27,784.60/38,233.48 = 25,135/x
  3. Step 3: Cross multiply
    27,784.60x = 38,233.48 × 25,135
  4. Step 4: Simplify right side
    27,784.60x = 960,998,519.80
  5. Step 5: Solve for x
    x = 960,998,519.80/27,784.60
  6. Step 6: Final answer
    x = 34,587.45

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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.