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Finding the Fourth Proportional to 23,005.57, 34,515.65 and 8,214.16

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Solution

The fourth proportional to 23,005.57, 34,515.65 and 8,214.16 is: 12,323.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,005.57 : 34,515.65 = 8,214.16 : x
  2. Step 2: Convert to fraction form
    23,005.57/34,515.65 = 8,214.16/x
  3. Step 3: Cross multiply
    23,005.57x = 34,515.65 × 8,214.16
  4. Step 4: Simplify right side
    23,005.57x = 283,517,071.60
  5. Step 5: Solve for x
    x = 283,517,071.60/23,005.57
  6. Step 6: Final answer
    x = 12,323.84

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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.