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Finding the Fourth Proportional to 27,428.52, 41,146.08 and 9,655.49

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Solution

The fourth proportional to 27,428.52, 41,146.08 and 9,655.49 is: 14,484.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,428.52 : 41,146.08 = 9,655.49 : x
  2. Step 2: Convert to fraction form
    27,428.52/41,146.08 = 9,655.49/x
  3. Step 3: Cross multiply
    27,428.52x = 41,146.08 × 9,655.49
  4. Step 4: Simplify right side
    27,428.52x = 397,285,488.41
  5. Step 5: Solve for x
    x = 397,285,488.41/27,428.52
  6. Step 6: Final answer
    x = 14,484.39

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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.