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Finding the Fourth Proportional to 27,117.84, 40,754.52 and 13,276.56

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Solution

The fourth proportional to 27,117.84, 40,754.52 and 13,276.56 is: 19,952.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,117.84 : 40,754.52 = 13,276.56 : x
  2. Step 2: Convert to fraction form
    27,117.84/40,754.52 = 13,276.56/x
  3. Step 3: Cross multiply
    27,117.84x = 40,754.52 × 13,276.56
  4. Step 4: Simplify right side
    27,117.84x = 541,079,830.05
  5. Step 5: Solve for x
    x = 541,079,830.05/27,117.84
  6. Step 6: Final answer
    x = 19,952.91

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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.