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Finding the Fourth Proportional to 27,587.52, 38,041.92 and 18,144

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Solution

The fourth proportional to 27,587.52, 38,041.92 and 18,144 is: 25,019.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,587.52 : 38,041.92 = 18,144 : x
  2. Step 2: Convert to fraction form
    27,587.52/38,041.92 = 18,144/x
  3. Step 3: Cross multiply
    27,587.52x = 38,041.92 × 18,144
  4. Step 4: Simplify right side
    27,587.52x = 690,232,596.48
  5. Step 5: Solve for x
    x = 690,232,596.48/27,587.52
  6. Step 6: Final answer
    x = 25,019.74

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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.