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Finding the Fourth Proportional to 19,466, 29,179.48 and 7,603.44

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Solution

The fourth proportional to 19,466, 29,179.48 and 7,603.44 is: 11,397.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,466 : 29,179.48 = 7,603.44 : x
  2. Step 2: Convert to fraction form
    19,466/29,179.48 = 7,603.44/x
  3. Step 3: Cross multiply
    19,466x = 29,179.48 × 7,603.44
  4. Step 4: Simplify right side
    19,466x = 221,864,425.41
  5. Step 5: Solve for x
    x = 221,864,425.41/19,466
  6. Step 6: Final answer
    x = 11,397.54

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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.