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Finding the Fourth Proportional to 13,951.67, 19,254.38 and 7,985.21

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Solution

The fourth proportional to 13,951.67, 19,254.38 and 7,985.21 is: 11,020.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,951.67 : 19,254.38 = 7,985.21 : x
  2. Step 2: Convert to fraction form
    13,951.67/19,254.38 = 7,985.21/x
  3. Step 3: Cross multiply
    13,951.67x = 19,254.38 × 7,985.21
  4. Step 4: Simplify right side
    13,951.67x = 153,750,131.52
  5. Step 5: Solve for x
    x = 153,750,131.52/13,951.67
  6. Step 6: Final answer
    x = 11,020.20

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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.