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Finding the Fourth Proportional to 14,386.62, 19,853.53 and 8,419.43

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Solution

The fourth proportional to 14,386.62, 19,853.53 and 8,419.43 is: 11,618.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,386.62 : 19,853.53 = 8,419.43 : x
  2. Step 2: Convert to fraction form
    14,386.62/19,853.53 = 8,419.43/x
  3. Step 3: Cross multiply
    14,386.62x = 19,853.53 × 8,419.43
  4. Step 4: Simplify right side
    14,386.62x = 167,155,346.68
  5. Step 5: Solve for x
    x = 167,155,346.68/14,386.62
  6. Step 6: Final answer
    x = 11,618.81

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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.