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Finding the Fourth Proportional to 14,434.26, 19,921.14 and 8,468.22

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Solution

The fourth proportional to 14,434.26, 19,921.14 and 8,468.22 is: 11,687.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,434.26 : 19,921.14 = 8,468.22 : x
  2. Step 2: Convert to fraction form
    14,434.26/19,921.14 = 8,468.22/x
  3. Step 3: Cross multiply
    14,434.26x = 19,921.14 × 8,468.22
  4. Step 4: Simplify right side
    14,434.26x = 168,696,596.17
  5. Step 5: Solve for x
    x = 168,696,596.17/14,434.26
  6. Step 6: Final answer
    x = 11,687.24

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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.