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Finding the Fourth Proportional to 23,433.30, 32,337.83 and 12,823.11

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Solution

The fourth proportional to 23,433.30, 32,337.83 and 12,823.11 is: 17,695.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,433.30 : 32,337.83 = 12,823.11 : x
  2. Step 2: Convert to fraction form
    23,433.30/32,337.83 = 12,823.11/x
  3. Step 3: Cross multiply
    23,433.30x = 32,337.83 × 12,823.11
  4. Step 4: Simplify right side
    23,433.30x = 414,671,583.31
  5. Step 5: Solve for x
    x = 414,671,583.31/23,433.30
  6. Step 6: Final answer
    x = 17,695.83

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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.