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Finding the Fourth Proportional to 22,966.50, 34,454.62 and 7,385.34

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Solution

The fourth proportional to 22,966.50, 34,454.62 and 7,385.34 is: 11,079.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,966.50 : 34,454.62 = 7,385.34 : x
  2. Step 2: Convert to fraction form
    22,966.50/34,454.62 = 7,385.34/x
  3. Step 3: Cross multiply
    22,966.50x = 34,454.62 × 7,385.34
  4. Step 4: Simplify right side
    22,966.50x = 254,459,083.27
  5. Step 5: Solve for x
    x = 254,459,083.27/22,966.50
  6. Step 6: Final answer
    x = 11,079.58

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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.