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Finding the Fourth Proportional to 27,346.65, 41,002.45 and 11,547.40

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Solution

The fourth proportional to 27,346.65, 41,002.45 and 11,547.40 is: 17,313.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,346.65 : 41,002.45 = 11,547.40 : x
  2. Step 2: Convert to fraction form
    27,346.65/41,002.45 = 11,547.40/x
  3. Step 3: Cross multiply
    27,346.65x = 41,002.45 × 11,547.40
  4. Step 4: Simplify right side
    27,346.65x = 473,471,691.13
  5. Step 5: Solve for x
    x = 473,471,691.13/27,346.65
  6. Step 6: Final answer
    x = 17,313.70

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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.