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Finding the Fourth Proportional to 14,017.54, 19,348.89 and 8,354.06

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Solution

The fourth proportional to 14,017.54, 19,348.89 and 8,354.06 is: 11,531.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,017.54 : 19,348.89 = 8,354.06 : x
  2. Step 2: Convert to fraction form
    14,017.54/19,348.89 = 8,354.06/x
  3. Step 3: Cross multiply
    14,017.54x = 19,348.89 × 8,354.06
  4. Step 4: Simplify right side
    14,017.54x = 161,641,787.99
  5. Step 5: Solve for x
    x = 161,641,787.99/14,017.54
  6. Step 6: Final answer
    x = 11,531.39

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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.