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Finding the Fourth Proportional to 13,250.40, 18,277.40 and 7,869.18

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Solution

The fourth proportional to 13,250.40, 18,277.40 and 7,869.18 is: 10,854.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,250.40 : 18,277.40 = 7,869.18 : x
  2. Step 2: Convert to fraction form
    13,250.40/18,277.40 = 7,869.18/x
  3. Step 3: Cross multiply
    13,250.40x = 18,277.40 × 7,869.18
  4. Step 4: Simplify right side
    13,250.40x = 143,828,150.53
  5. Step 5: Solve for x
    x = 143,828,150.53/13,250.40
  6. Step 6: Final answer
    x = 10,854.63

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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.