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Finding the Fourth Proportional to 23,214.47, 34,835.53 and 8,424.54

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Solution

The fourth proportional to 23,214.47, 34,835.53 and 8,424.54 is: 12,641.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,214.47 : 34,835.53 = 8,424.54 : x
  2. Step 2: Convert to fraction form
    23,214.47/34,835.53 = 8,424.54/x
  3. Step 3: Cross multiply
    23,214.47x = 34,835.53 × 8,424.54
  4. Step 4: Simplify right side
    23,214.47x = 293,473,141.73
  5. Step 5: Solve for x
    x = 293,473,141.73/23,214.47
  6. Step 6: Final answer
    x = 12,641.82

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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.