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Finding the Fourth Proportional to 23,005.65, 34,510.52 and 8,214.69

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Solution

The fourth proportional to 23,005.65, 34,510.52 and 8,214.69 is: 12,322.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,005.65 : 34,510.52 = 8,214.69 : x
  2. Step 2: Convert to fraction form
    23,005.65/34,510.52 = 8,214.69/x
  3. Step 3: Cross multiply
    23,005.65x = 34,510.52 × 8,214.69
  4. Step 4: Simplify right side
    23,005.65x = 283,493,241.77
  5. Step 5: Solve for x
    x = 283,493,241.77/23,005.65
  6. Step 6: Final answer
    x = 12,322.77

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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.