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Finding the Fourth Proportional to 14,109.95, 19,471.94 and 7,737.12

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Solution

The fourth proportional to 14,109.95, 19,471.94 and 7,737.12 is: 10,677.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,109.95 : 19,471.94 = 7,737.12 : x
  2. Step 2: Convert to fraction form
    14,109.95/19,471.94 = 7,737.12/x
  3. Step 3: Cross multiply
    14,109.95x = 19,471.94 × 7,737.12
  4. Step 4: Simplify right side
    14,109.95x = 150,656,697.73
  5. Step 5: Solve for x
    x = 150,656,697.73/14,109.95
  6. Step 6: Final answer
    x = 10,677.34

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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.