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Finding the Fourth Proportional to 14,226.46, 19,633.61 and 7,854.28

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Solution

The fourth proportional to 14,226.46, 19,633.61 and 7,854.28 is: 10,839.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,226.46 : 19,633.61 = 7,854.28 : x
  2. Step 2: Convert to fraction form
    14,226.46/19,633.61 = 7,854.28/x
  3. Step 3: Cross multiply
    14,226.46x = 19,633.61 × 7,854.28
  4. Step 4: Simplify right side
    14,226.46x = 154,207,907.16
  5. Step 5: Solve for x
    x = 154,207,907.16/14,226.46
  6. Step 6: Final answer
    x = 10,839.51

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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.