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Finding the Fourth Proportional to 12,722.71, 19,077.66 and 7,458.97

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Solution

The fourth proportional to 12,722.71, 19,077.66 and 7,458.97 is: 11,184.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,722.71 : 19,077.66 = 7,458.97 : x
  2. Step 2: Convert to fraction form
    12,722.71/19,077.66 = 7,458.97/x
  3. Step 3: Cross multiply
    12,722.71x = 19,077.66 × 7,458.97
  4. Step 4: Simplify right side
    12,722.71x = 142,299,693.61
  5. Step 5: Solve for x
    x = 142,299,693.61/12,722.71
  6. Step 6: Final answer
    x = 11,184.70

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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.