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Finding the Fourth Proportional to 27,350.86, 41,009.02 and 11,547.71

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Solution

The fourth proportional to 27,350.86, 41,009.02 and 11,547.71 is: 17,314.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,350.86 : 41,009.02 = 11,547.71 : x
  2. Step 2: Convert to fraction form
    27,350.86/41,009.02 = 11,547.71/x
  3. Step 3: Cross multiply
    27,350.86x = 41,009.02 × 11,547.71
  4. Step 4: Simplify right side
    27,350.86x = 473,560,036.43
  5. Step 5: Solve for x
    x = 473,560,036.43/27,350.86
  6. Step 6: Final answer
    x = 17,314.27

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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.