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Finding the Fourth Proportional to 12,330.84, 18,491.40 and 7,140.36

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Solution

The fourth proportional to 12,330.84, 18,491.40 and 7,140.36 is: 10,707.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,330.84 : 18,491.40 = 7,140.36 : x
  2. Step 2: Convert to fraction form
    12,330.84/18,491.40 = 7,140.36/x
  3. Step 3: Cross multiply
    12,330.84x = 18,491.40 × 7,140.36
  4. Step 4: Simplify right side
    12,330.84x = 132,035,252.90
  5. Step 5: Solve for x
    x = 132,035,252.90/12,330.84
  6. Step 6: Final answer
    x = 10,707.73

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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.