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Finding the Fourth Proportional to 14,397.39, 19,868.22 and 8,109.78

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Solution

The fourth proportional to 14,397.39, 19,868.22 and 8,109.78 is: 11,191.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,397.39 : 19,868.22 = 8,109.78 : x
  2. Step 2: Convert to fraction form
    14,397.39/19,868.22 = 8,109.78/x
  3. Step 3: Cross multiply
    14,397.39x = 19,868.22 × 8,109.78
  4. Step 4: Simplify right side
    14,397.39x = 161,126,893.19
  5. Step 5: Solve for x
    x = 161,126,893.19/14,397.39
  6. Step 6: Final answer
    x = 11,191.40

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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.