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Finding the Fourth Proportional to 14,398.38, 19,862.19 and 9,914.36

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Solution

The fourth proportional to 14,398.38, 19,862.19 and 9,914.36 is: 13,676.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,398.38 : 19,862.19 = 9,914.36 : x
  2. Step 2: Convert to fraction form
    14,398.38/19,862.19 = 9,914.36/x
  3. Step 3: Cross multiply
    14,398.38x = 19,862.19 × 9,914.36
  4. Step 4: Simplify right side
    14,398.38x = 196,920,802.74
  5. Step 5: Solve for x
    x = 196,920,802.74/14,398.38
  6. Step 6: Final answer
    x = 13,676.59

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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.