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Finding the Fourth Proportional to 23,568.29, 32,523.86 and 12,957.69

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Solution

The fourth proportional to 23,568.29, 32,523.86 and 12,957.69 is: 17,881.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,568.29 : 32,523.86 = 12,957.69 : x
  2. Step 2: Convert to fraction form
    23,568.29/32,523.86 = 12,957.69/x
  3. Step 3: Cross multiply
    23,568.29x = 32,523.86 × 12,957.69
  4. Step 4: Simplify right side
    23,568.29x = 421,434,030.69
  5. Step 5: Solve for x
    x = 421,434,030.69/23,568.29
  6. Step 6: Final answer
    x = 17,881.40

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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.