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Finding the Fourth Proportional to 14,398.17, 19,869.89 and 8,429.28

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Solution

The fourth proportional to 14,398.17, 19,869.89 and 8,429.28 is: 11,632.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,398.17 : 19,869.89 = 8,429.28 : x
  2. Step 2: Convert to fraction form
    14,398.17/19,869.89 = 8,429.28/x
  3. Step 3: Cross multiply
    14,398.17x = 19,869.89 × 8,429.28
  4. Step 4: Simplify right side
    14,398.17x = 167,488,797.14
  5. Step 5: Solve for x
    x = 167,488,797.14/14,398.17
  6. Step 6: Final answer
    x = 11,632.65

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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.