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Finding the Fourth Proportional to 27,513.95, 41,287.32 and 9,981.50

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Solution

The fourth proportional to 27,513.95, 41,287.32 and 9,981.50 is: 14,978.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,513.95 : 41,287.32 = 9,981.50 : x
  2. Step 2: Convert to fraction form
    27,513.95/41,287.32 = 9,981.50/x
  3. Step 3: Cross multiply
    27,513.95x = 41,287.32 × 9,981.50
  4. Step 4: Simplify right side
    27,513.95x = 412,109,178.14
  5. Step 5: Solve for x
    x = 412,109,178.14/27,513.95
  6. Step 6: Final answer
    x = 14,978.19

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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.