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Finding the Fourth Proportional to 13,380.95, 18,465.80 and 7,412.94

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Solution

The fourth proportional to 13,380.95, 18,465.80 and 7,412.94 is: 10,229.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,380.95 : 18,465.80 = 7,412.94 : x
  2. Step 2: Convert to fraction form
    13,380.95/18,465.80 = 7,412.94/x
  3. Step 3: Cross multiply
    13,380.95x = 18,465.80 × 7,412.94
  4. Step 4: Simplify right side
    13,380.95x = 136,885,903.17
  5. Step 5: Solve for x
    x = 136,885,903.17/13,380.95
  6. Step 6: Final answer
    x = 10,229.91

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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.