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Finding the Fourth Proportional to 12,330.40, 18,476.70 and 9,195.70

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Solution

The fourth proportional to 12,330.40, 18,476.70 and 9,195.70 is: 13,779.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,330.40 : 18,476.70 = 9,195.70 : x
  2. Step 2: Convert to fraction form
    12,330.40/18,476.70 = 9,195.70/x
  3. Step 3: Cross multiply
    12,330.40x = 18,476.70 × 9,195.70
  4. Step 4: Simplify right side
    12,330.40x = 169,906,190.19
  5. Step 5: Solve for x
    x = 169,906,190.19/12,330.40
  6. Step 6: Final answer
    x = 13,779.45

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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.