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Finding the Fourth Proportional to 14,259.12, 19,677.76 and 7,971.60

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Solution

The fourth proportional to 14,259.12, 19,677.76 and 7,971.60 is: 11,000.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,259.12 : 19,677.76 = 7,971.60 : x
  2. Step 2: Convert to fraction form
    14,259.12/19,677.76 = 7,971.60/x
  3. Step 3: Cross multiply
    14,259.12x = 19,677.76 × 7,971.60
  4. Step 4: Simplify right side
    14,259.12x = 156,863,231.62
  5. Step 5: Solve for x
    x = 156,863,231.62/14,259.12
  6. Step 6: Final answer
    x = 11,000.91

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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.