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Finding the Fourth Proportional to 23,568.96, 32,526 and 12,959.40

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Solution

The fourth proportional to 23,568.96, 32,526 and 12,959.40 is: 17,884.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,568.96 : 32,526 = 12,959.40 : x
  2. Step 2: Convert to fraction form
    23,568.96/32,526 = 12,959.40/x
  3. Step 3: Cross multiply
    23,568.96x = 32,526 × 12,959.40
  4. Step 4: Simplify right side
    23,568.96x = 421,517,444.40
  5. Step 5: Solve for x
    x = 421,517,444.40/23,568.96
  6. Step 6: Final answer
    x = 17,884.43

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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.