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Finding the Fourth Proportional to 23,006.51, 34,516.05 and 8,216.93

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Solution

The fourth proportional to 23,006.51, 34,516.05 and 8,216.93 is: 12,327.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,006.51 : 34,516.05 = 8,216.93 : x
  2. Step 2: Convert to fraction form
    23,006.51/34,516.05 = 8,216.93/x
  3. Step 3: Cross multiply
    23,006.51x = 34,516.05 × 8,216.93
  4. Step 4: Simplify right side
    23,006.51x = 283,615,966.73
  5. Step 5: Solve for x
    x = 283,615,966.73/23,006.51
  6. Step 6: Final answer
    x = 12,327.64

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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.