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Finding the Fourth Proportional to 12,443.40, 18,646.20 and 9,140.76

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Solution

The fourth proportional to 12,443.40, 18,646.20 and 9,140.76 is: 13,697.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,443.40 : 18,646.20 = 9,140.76 : x
  2. Step 2: Convert to fraction form
    12,443.40/18,646.20 = 9,140.76/x
  3. Step 3: Cross multiply
    12,443.40x = 18,646.20 × 9,140.76
  4. Step 4: Simplify right side
    12,443.40x = 170,440,439.11
  5. Step 5: Solve for x
    x = 170,440,439.11/12,443.40
  6. Step 6: Final answer
    x = 13,697.26

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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.