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Finding the Fourth Proportional to 22,765.44, 34,148.40 and 9,616.08

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Solution

The fourth proportional to 22,765.44, 34,148.40 and 9,616.08 is: 14,424.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,765.44 : 34,148.40 = 9,616.08 : x
  2. Step 2: Convert to fraction form
    22,765.44/34,148.40 = 9,616.08/x
  3. Step 3: Cross multiply
    22,765.44x = 34,148.40 × 9,616.08
  4. Step 4: Simplify right side
    22,765.44x = 328,373,746.27
  5. Step 5: Solve for x
    x = 328,373,746.27/22,765.44
  6. Step 6: Final answer
    x = 14,424.22

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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.