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Finding the Fourth Proportional to 27,058.32, 40,582.08 and 10,188

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Solution

The fourth proportional to 27,058.32, 40,582.08 and 10,188 is: 15,279.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,058.32 : 40,582.08 = 10,188 : x
  2. Step 2: Convert to fraction form
    27,058.32/40,582.08 = 10,188/x
  3. Step 3: Cross multiply
    27,058.32x = 40,582.08 × 10,188
  4. Step 4: Simplify right side
    27,058.32x = 413,450,231.04
  5. Step 5: Solve for x
    x = 413,450,231.04/27,058.32
  6. Step 6: Final answer
    x = 15,279.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.