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Finding the Fourth Proportional to 13,821.21, 19,073.33 and 7,854.87

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Solution

The fourth proportional to 13,821.21, 19,073.33 and 7,854.87 is: 10,839.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,821.21 : 19,073.33 = 7,854.87 : x
  2. Step 2: Convert to fraction form
    13,821.21/19,073.33 = 7,854.87/x
  3. Step 3: Cross multiply
    13,821.21x = 19,073.33 × 7,854.87
  4. Step 4: Simplify right side
    13,821.21x = 149,818,488.34
  5. Step 5: Solve for x
    x = 149,818,488.34/13,821.21
  6. Step 6: Final answer
    x = 10,839.75

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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.