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Finding the Fourth Proportional to 14,227.64, 19,633.91 and 7,854.86

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Solution

The fourth proportional to 14,227.64, 19,633.91 and 7,854.86 is: 10,839.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,227.64 : 19,633.91 = 7,854.86 : x
  2. Step 2: Convert to fraction form
    14,227.64/19,633.91 = 7,854.86/x
  3. Step 3: Cross multiply
    14,227.64x = 19,633.91 × 7,854.86
  4. Step 4: Simplify right side
    14,227.64x = 154,221,476.86
  5. Step 5: Solve for x
    x = 154,221,476.86/14,227.64
  6. Step 6: Final answer
    x = 10,839.57

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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.