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Finding the Fourth Proportional to 22,776.48, 34,166.16 and 9,627.12

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Solution

The fourth proportional to 22,776.48, 34,166.16 and 9,627.12 is: 14,441.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,776.48 : 34,166.16 = 9,627.12 : x
  2. Step 2: Convert to fraction form
    22,776.48/34,166.16 = 9,627.12/x
  3. Step 3: Cross multiply
    22,776.48x = 34,166.16 × 9,627.12
  4. Step 4: Simplify right side
    22,776.48x = 328,921,722.26
  5. Step 5: Solve for x
    x = 328,921,722.26/22,776.48
  6. Step 6: Final answer
    x = 14,441.29

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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.