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Finding the Fourth Proportional to 27,547.98, 41,305.18 and 11,744.16

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Solution

The fourth proportional to 27,547.98, 41,305.18 and 11,744.16 is: 17,609.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,547.98 : 41,305.18 = 11,744.16 : x
  2. Step 2: Convert to fraction form
    27,547.98/41,305.18 = 11,744.16/x
  3. Step 3: Cross multiply
    27,547.98x = 41,305.18 × 11,744.16
  4. Step 4: Simplify right side
    27,547.98x = 485,094,642.75
  5. Step 5: Solve for x
    x = 485,094,642.75/27,547.98
  6. Step 6: Final answer
    x = 17,609.08

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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.