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Finding the Fourth Proportional to 27,142.62, 37,454.31 and 15,206.46

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Solution

The fourth proportional to 27,142.62, 37,454.31 and 15,206.46 is: 20,983.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,142.62 : 37,454.31 = 15,206.46 : x
  2. Step 2: Convert to fraction form
    27,142.62/37,454.31 = 15,206.46/x
  3. Step 3: Cross multiply
    27,142.62x = 37,454.31 × 15,206.46
  4. Step 4: Simplify right side
    27,142.62x = 569,547,466.84
  5. Step 5: Solve for x
    x = 569,547,466.84/27,142.62
  6. Step 6: Final answer
    x = 20,983.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.