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Finding the Fourth Proportional to 27,810.78, 41,702.31 and 9,088.38

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Solution

The fourth proportional to 27,810.78, 41,702.31 and 9,088.38 is: 13,628.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,810.78 : 41,702.31 = 9,088.38 : x
  2. Step 2: Convert to fraction form
    27,810.78/41,702.31 = 9,088.38/x
  3. Step 3: Cross multiply
    27,810.78x = 41,702.31 × 9,088.38
  4. Step 4: Simplify right side
    27,810.78x = 379,006,440.16
  5. Step 5: Solve for x
    x = 379,006,440.16/27,810.78
  6. Step 6: Final answer
    x = 13,628.04

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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.