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Finding the Fourth Proportional to 27,685.68, 41,461.56 and 19,374

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Solution

The fourth proportional to 27,685.68, 41,461.56 and 19,374 is: 29,014.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,685.68 : 41,461.56 = 19,374 : x
  2. Step 2: Convert to fraction form
    27,685.68/41,461.56 = 19,374/x
  3. Step 3: Cross multiply
    27,685.68x = 41,461.56 × 19,374
  4. Step 4: Simplify right side
    27,685.68x = 803,276,263.44
  5. Step 5: Solve for x
    x = 803,276,263.44/27,685.68
  6. Step 6: Final answer
    x = 29,014.14

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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.