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Finding the Fourth Proportional to 19,658.44, 29,497.10 and 12,261

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Solution

The fourth proportional to 19,658.44, 29,497.10 and 12,261 is: 18,397.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,658.44 : 29,497.10 = 12,261 : x
  2. Step 2: Convert to fraction form
    19,658.44/29,497.10 = 12,261/x
  3. Step 3: Cross multiply
    19,658.44x = 29,497.10 × 12,261
  4. Step 4: Simplify right side
    19,658.44x = 361,663,943.10
  5. Step 5: Solve for x
    x = 361,663,943.10/19,658.44
  6. Step 6: Final answer
    x = 18,397.39

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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.