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Finding the Fourth Proportional to 12,921.71, 17,827.74 and 7,542.95

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Solution

The fourth proportional to 12,921.71, 17,827.74 and 7,542.95 is: 10,406.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,921.71 : 17,827.74 = 7,542.95 : x
  2. Step 2: Convert to fraction form
    12,921.71/17,827.74 = 7,542.95/x
  3. Step 3: Cross multiply
    12,921.71x = 17,827.74 × 7,542.95
  4. Step 4: Simplify right side
    12,921.71x = 134,473,662.29
  5. Step 5: Solve for x
    x = 134,473,662.29/12,921.71
  6. Step 6: Final answer
    x = 10,406.80

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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.