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Finding the Fourth Proportional to 22,854.51, 34,282.51 and 7,861.47

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Solution

The fourth proportional to 22,854.51, 34,282.51 and 7,861.47 is: 11,792.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,854.51 : 34,282.51 = 7,861.47 : x
  2. Step 2: Convert to fraction form
    22,854.51/34,282.51 = 7,861.47/x
  3. Step 3: Cross multiply
    22,854.51x = 34,282.51 × 7,861.47
  4. Step 4: Simplify right side
    22,854.51x = 269,510,923.89
  5. Step 5: Solve for x
    x = 269,510,923.89/22,854.51
  6. Step 6: Final answer
    x = 11,792.46

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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.