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Finding the Fourth Proportional to 12,869.26, 17,756.51 and 7,833.42

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Solution

The fourth proportional to 12,869.26, 17,756.51 and 7,833.42 is: 10,808.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,869.26 : 17,756.51 = 7,833.42 : x
  2. Step 2: Convert to fraction form
    12,869.26/17,756.51 = 7,833.42/x
  3. Step 3: Cross multiply
    12,869.26x = 17,756.51 × 7,833.42
  4. Step 4: Simplify right side
    12,869.26x = 139,094,200.56
  5. Step 5: Solve for x
    x = 139,094,200.56/12,869.26
  6. Step 6: Final answer
    x = 10,808.25

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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.