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Finding the Fourth Proportional to 19,726.87, 29,575.18 and 8,032.63

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Solution

The fourth proportional to 19,726.87, 29,575.18 and 8,032.63 is: 12,042.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,726.87 : 29,575.18 = 8,032.63 : x
  2. Step 2: Convert to fraction form
    19,726.87/29,575.18 = 8,032.63/x
  3. Step 3: Cross multiply
    19,726.87x = 29,575.18 × 8,032.63
  4. Step 4: Simplify right side
    19,726.87x = 237,566,478.12
  5. Step 5: Solve for x
    x = 237,566,478.12/19,726.87
  6. Step 6: Final answer
    x = 12,042.79

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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.