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Finding the Fourth Proportional to 22,765.93, 34,152.54 and 9,618.42

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Solution

The fourth proportional to 22,765.93, 34,152.54 and 9,618.42 is: 14,429.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,765.93 : 34,152.54 = 9,618.42 : x
  2. Step 2: Convert to fraction form
    22,765.93/34,152.54 = 9,618.42/x
  3. Step 3: Cross multiply
    22,765.93x = 34,152.54 × 9,618.42
  4. Step 4: Simplify right side
    22,765.93x = 328,493,473.79
  5. Step 5: Solve for x
    x = 328,493,473.79/22,765.93
  6. Step 6: Final answer
    x = 14,429.17

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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.