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Finding the Fourth Proportional to 27,190.47, 40,774.17 and 10,547.40

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Solution

The fourth proportional to 27,190.47, 40,774.17 and 10,547.40 is: 15,816.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,190.47 : 40,774.17 = 10,547.40 : x
  2. Step 2: Convert to fraction form
    27,190.47/40,774.17 = 10,547.40/x
  3. Step 3: Cross multiply
    27,190.47x = 40,774.17 × 10,547.40
  4. Step 4: Simplify right side
    27,190.47x = 430,061,480.66
  5. Step 5: Solve for x
    x = 430,061,480.66/27,190.47
  6. Step 6: Final answer
    x = 15,816.63

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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.