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Finding the Fourth Proportional to 23,281.96, 32,143.62 and 16,205.80

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Solution

The fourth proportional to 23,281.96, 32,143.62 and 16,205.80 is: 22,374.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,281.96 : 32,143.62 = 16,205.80 : x
  2. Step 2: Convert to fraction form
    23,281.96/32,143.62 = 16,205.80/x
  3. Step 3: Cross multiply
    23,281.96x = 32,143.62 × 16,205.80
  4. Step 4: Simplify right side
    23,281.96x = 520,913,077.00
  5. Step 5: Solve for x
    x = 520,913,077.00/23,281.96
  6. Step 6: Final answer
    x = 22,374.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.