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Finding the Fourth Proportional to 10,568.42, 15,838.85 and 9,451.23

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Solution

The fourth proportional to 10,568.42, 15,838.85 and 9,451.23 is: 14,164.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,568.42 : 15,838.85 = 9,451.23 : x
  2. Step 2: Convert to fraction form
    10,568.42/15,838.85 = 9,451.23/x
  3. Step 3: Cross multiply
    10,568.42x = 15,838.85 × 9,451.23
  4. Step 4: Simplify right side
    10,568.42x = 149,696,567.03
  5. Step 5: Solve for x
    x = 149,696,567.03/10,568.42
  6. Step 6: Final answer
    x = 14,164.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.