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Finding the Fourth Proportional to 13,929.95, 20,913.47 and 8,090.75

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Solution

The fourth proportional to 13,929.95, 20,913.47 and 8,090.75 is: 12,146.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,929.95 : 20,913.47 = 8,090.75 : x
  2. Step 2: Convert to fraction form
    13,929.95/20,913.47 = 8,090.75/x
  3. Step 3: Cross multiply
    13,929.95x = 20,913.47 × 8,090.75
  4. Step 4: Simplify right side
    13,929.95x = 169,205,657.40
  5. Step 5: Solve for x
    x = 169,205,657.40/13,929.95
  6. Step 6: Final answer
    x = 12,146.90

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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.