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Finding the Fourth Proportional to 22,980.79, 34,462.68 and 8,185.78

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Solution

The fourth proportional to 22,980.79, 34,462.68 and 8,185.78 is: 12,275.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,980.79 : 34,462.68 = 8,185.78 : x
  2. Step 2: Convert to fraction form
    22,980.79/34,462.68 = 8,185.78/x
  3. Step 3: Cross multiply
    22,980.79x = 34,462.68 × 8,185.78
  4. Step 4: Simplify right side
    22,980.79x = 282,103,916.69
  5. Step 5: Solve for x
    x = 282,103,916.69/22,980.79
  6. Step 6: Final answer
    x = 12,275.64

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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.