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Finding the Fourth Proportional to 14,259.25, 19,677.80 and 7,971.62

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Solution

The fourth proportional to 14,259.25, 19,677.80 and 7,971.62 is: 11,000.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,259.25 : 19,677.80 = 7,971.62 : x
  2. Step 2: Convert to fraction form
    14,259.25/19,677.80 = 7,971.62/x
  3. Step 3: Cross multiply
    14,259.25x = 19,677.80 × 7,971.62
  4. Step 4: Simplify right side
    14,259.25x = 156,863,976.26
  5. Step 5: Solve for x
    x = 156,863,976.26/14,259.25
  6. Step 6: Final answer
    x = 11,000.86

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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.