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Finding the Fourth Proportional to 19,778.42, 29,669.61 and 7,301.72

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Solution

The fourth proportional to 19,778.42, 29,669.61 and 7,301.72 is: 10,953.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,778.42 : 29,669.61 = 7,301.72 : x
  2. Step 2: Convert to fraction form
    19,778.42/29,669.61 = 7,301.72/x
  3. Step 3: Cross multiply
    19,778.42x = 29,669.61 × 7,301.72
  4. Step 4: Simplify right side
    19,778.42x = 216,639,184.73
  5. Step 5: Solve for x
    x = 216,639,184.73/19,778.42
  6. Step 6: Final answer
    x = 10,953.31

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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.