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Finding the Fourth Proportional to 23,409.86, 32,306.18 and 12,800.30

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Solution

The fourth proportional to 23,409.86, 32,306.18 and 12,800.30 is: 17,664.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,409.86 : 32,306.18 = 12,800.30 : x
  2. Step 2: Convert to fraction form
    23,409.86/32,306.18 = 12,800.30/x
  3. Step 3: Cross multiply
    23,409.86x = 32,306.18 × 12,800.30
  4. Step 4: Simplify right side
    23,409.86x = 413,528,570.32
  5. Step 5: Solve for x
    x = 413,528,570.32/23,409.86
  6. Step 6: Final answer
    x = 17,664.72

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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.