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Finding the Fourth Proportional to 27,345.78, 41,030.70 and 9,589.26

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Solution

The fourth proportional to 27,345.78, 41,030.70 and 9,589.26 is: 14,388.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,345.78 : 41,030.70 = 9,589.26 : x
  2. Step 2: Convert to fraction form
    27,345.78/41,030.70 = 9,589.26/x
  3. Step 3: Cross multiply
    27,345.78x = 41,030.70 × 9,589.26
  4. Step 4: Simplify right side
    27,345.78x = 393,454,050.28
  5. Step 5: Solve for x
    x = 393,454,050.28/27,345.78
  6. Step 6: Final answer
    x = 14,388.11

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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.