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Finding the Fourth Proportional to 13,810.60, 20,715.90 and 7,978.60

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Solution

The fourth proportional to 13,810.60, 20,715.90 and 7,978.60 is: 11,967.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810.60 : 20,715.90 = 7,978.60 : x
  2. Step 2: Convert to fraction form
    13,810.60/20,715.90 = 7,978.60/x
  3. Step 3: Cross multiply
    13,810.60x = 20,715.90 × 7,978.60
  4. Step 4: Simplify right side
    13,810.60x = 165,283,879.74
  5. Step 5: Solve for x
    x = 165,283,879.74/13,810.60
  6. Step 6: Final answer
    x = 11,967.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.