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Finding the Fourth Proportional to 14,435.38, 19,920.82 and 8,148.16

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Solution

The fourth proportional to 14,435.38, 19,920.82 and 8,148.16 is: 11,244.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,435.38 : 19,920.82 = 8,148.16 : x
  2. Step 2: Convert to fraction form
    14,435.38/19,920.82 = 8,148.16/x
  3. Step 3: Cross multiply
    14,435.38x = 19,920.82 × 8,148.16
  4. Step 4: Simplify right side
    14,435.38x = 162,317,929.09
  5. Step 5: Solve for x
    x = 162,317,929.09/14,435.38
  6. Step 6: Final answer
    x = 11,244.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.