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Finding the Fourth Proportional to 27,158.49, 40,738.95 and 7,436.61

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Solution

The fourth proportional to 27,158.49, 40,738.95 and 7,436.61 is: 11,155.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,158.49 : 40,738.95 = 7,436.61 : x
  2. Step 2: Convert to fraction form
    27,158.49/40,738.95 = 7,436.61/x
  3. Step 3: Cross multiply
    27,158.49x = 40,738.95 × 7,436.61
  4. Step 4: Simplify right side
    27,158.49x = 302,959,682.96
  5. Step 5: Solve for x
    x = 302,959,682.96/27,158.49
  6. Step 6: Final answer
    x = 11,155.25

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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.