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Finding the Fourth Proportional to 23,416.59, 32,315.02 and 12,806.20

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Solution

The fourth proportional to 23,416.59, 32,315.02 and 12,806.20 is: 17,672.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,416.59 : 32,315.02 = 12,806.20 : x
  2. Step 2: Convert to fraction form
    23,416.59/32,315.02 = 12,806.20/x
  3. Step 3: Cross multiply
    23,416.59x = 32,315.02 × 12,806.20
  4. Step 4: Simplify right side
    23,416.59x = 413,832,617.50
  5. Step 5: Solve for x
    x = 413,832,617.50/23,416.59
  6. Step 6: Final answer
    x = 17,672.62

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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.