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Finding the Fourth Proportional to 14,227.45, 19,633.88 and 7,854.04

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Solution

The fourth proportional to 14,227.45, 19,633.88 and 7,854.04 is: 10,838.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,227.45 : 19,633.88 = 7,854.04 : x
  2. Step 2: Convert to fraction form
    14,227.45/19,633.88 = 7,854.04/x
  3. Step 3: Cross multiply
    14,227.45x = 19,633.88 × 7,854.04
  4. Step 4: Simplify right side
    14,227.45x = 154,205,278.88
  5. Step 5: Solve for x
    x = 154,205,278.88/14,227.45
  6. Step 6: Final answer
    x = 10,838.57

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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.