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Finding the Fourth Proportional to 23,410.55, 32,306.50 and 12,800.16

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Solution

The fourth proportional to 23,410.55, 32,306.50 and 12,800.16 is: 17,664.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,410.55 : 32,306.50 = 12,800.16 : x
  2. Step 2: Convert to fraction form
    23,410.55/32,306.50 = 12,800.16/x
  3. Step 3: Cross multiply
    23,410.55x = 32,306.50 × 12,800.16
  4. Step 4: Simplify right side
    23,410.55x = 413,528,369.04
  5. Step 5: Solve for x
    x = 413,528,369.04/23,410.55
  6. Step 6: Final answer
    x = 17,664.19

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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.