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Finding the Fourth Proportional to 23,416.59, 32,314.24 and 12,806.00

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Solution

The fourth proportional to 23,416.59, 32,314.24 and 12,806.00 is: 17,671.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,416.59 : 32,314.24 = 12,806.00 : x
  2. Step 2: Convert to fraction form
    23,416.59/32,314.24 = 12,806.00/x
  3. Step 3: Cross multiply
    23,416.59x = 32,314.24 × 12,806.00
  4. Step 4: Simplify right side
    23,416.59x = 413,816,133.05
  5. Step 5: Solve for x
    x = 413,816,133.05/23,416.59
  6. Step 6: Final answer
    x = 17,671.92

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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.