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Finding the Fourth Proportional to 27,409.32, 41,058.96 and 12,597.60

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Solution

The fourth proportional to 27,409.32, 41,058.96 and 12,597.60 is: 18,871.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,409.32 : 41,058.96 = 12,597.60 : x
  2. Step 2: Convert to fraction form
    27,409.32/41,058.96 = 12,597.60/x
  3. Step 3: Cross multiply
    27,409.32x = 41,058.96 × 12,597.60
  4. Step 4: Simplify right side
    27,409.32x = 517,244,354.50
  5. Step 5: Solve for x
    x = 517,244,354.50/27,409.32
  6. Step 6: Final answer
    x = 18,871.11

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Why These Related Problems?

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