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Finding the Fourth Proportional to 27,264.78, 40,897.53 and 9,735.66

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Solution

The fourth proportional to 27,264.78, 40,897.53 and 9,735.66 is: 14,603.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,264.78 : 40,897.53 = 9,735.66 : x
  2. Step 2: Convert to fraction form
    27,264.78/40,897.53 = 9,735.66/x
  3. Step 3: Cross multiply
    27,264.78x = 40,897.53 × 9,735.66
  4. Step 4: Simplify right side
    27,264.78x = 398,164,446.92
  5. Step 5: Solve for x
    x = 398,164,446.92/27,264.78
  6. Step 6: Final answer
    x = 14,603.62

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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.