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Finding the Fourth Proportional to 23,032.84, 34,555.74 and 8,243.86

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Solution

The fourth proportional to 23,032.84, 34,555.74 and 8,243.86 is: 12,368.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,032.84 : 34,555.74 = 8,243.86 : x
  2. Step 2: Convert to fraction form
    23,032.84/34,555.74 = 8,243.86/x
  3. Step 3: Cross multiply
    23,032.84x = 34,555.74 × 8,243.86
  4. Step 4: Simplify right side
    23,032.84x = 284,872,682.76
  5. Step 5: Solve for x
    x = 284,872,682.76/23,032.84
  6. Step 6: Final answer
    x = 12,368.11

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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.