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Finding the Fourth Proportional to 14,397.16, 19,868.26 and 8,109.48

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Solution

The fourth proportional to 14,397.16, 19,868.26 and 8,109.48 is: 11,191.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,397.16 : 19,868.26 = 8,109.48 : x
  2. Step 2: Convert to fraction form
    14,397.16/19,868.26 = 8,109.48/x
  3. Step 3: Cross multiply
    14,397.16x = 19,868.26 × 8,109.48
  4. Step 4: Simplify right side
    14,397.16x = 161,121,257.10
  5. Step 5: Solve for x
    x = 161,121,257.10/14,397.16
  6. Step 6: Final answer
    x = 11,191.18

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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.