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Finding the Fourth Proportional to 13,380.48, 18,465.84 and 7,412.00

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Solution

The fourth proportional to 13,380.48, 18,465.84 and 7,412.00 is: 10,228.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,380.48 : 18,465.84 = 7,412.00 : x
  2. Step 2: Convert to fraction form
    13,380.48/18,465.84 = 7,412.00/x
  3. Step 3: Cross multiply
    13,380.48x = 18,465.84 × 7,412.00
  4. Step 4: Simplify right side
    13,380.48x = 136,868,713.75
  5. Step 5: Solve for x
    x = 136,868,713.75/13,380.48
  6. Step 6: Final answer
    x = 10,228.98

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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.