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Finding the Fourth Proportional to 12,338.40, 18,510.30 and 6,101.40

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Solution

The fourth proportional to 12,338.40, 18,510.30 and 6,101.40 is: 9,153.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,338.40 : 18,510.30 = 6,101.40 : x
  2. Step 2: Convert to fraction form
    12,338.40/18,510.30 = 6,101.40/x
  3. Step 3: Cross multiply
    12,338.40x = 18,510.30 × 6,101.40
  4. Step 4: Simplify right side
    12,338.40x = 112,938,744.42
  5. Step 5: Solve for x
    x = 112,938,744.42/12,338.40
  6. Step 6: Final answer
    x = 9,153.44

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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.