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Finding the Fourth Proportional to 28,182.88, 42,274.14 and 8,461.36

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Solution

The fourth proportional to 28,182.88, 42,274.14 and 8,461.36 is: 12,691.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,182.88 : 42,274.14 = 8,461.36 : x
  2. Step 2: Convert to fraction form
    28,182.88/42,274.14 = 8,461.36/x
  3. Step 3: Cross multiply
    28,182.88x = 42,274.14 × 8,461.36
  4. Step 4: Simplify right side
    28,182.88x = 357,696,717.23
  5. Step 5: Solve for x
    x = 357,696,717.23/28,182.88
  6. Step 6: Final answer
    x = 12,691.99

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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.