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Finding the Fourth Proportional to 12,296.40, 18,441.60 and 3,530.40

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Solution

The fourth proportional to 12,296.40, 18,441.60 and 3,530.40 is: 5,294.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296.40 : 18,441.60 = 3,530.40 : x
  2. Step 2: Convert to fraction form
    12,296.40/18,441.60 = 3,530.40/x
  3. Step 3: Cross multiply
    12,296.40x = 18,441.60 × 3,530.40
  4. Step 4: Simplify right side
    12,296.40x = 65,106,224.64
  5. Step 5: Solve for x
    x = 65,106,224.64/12,296.40
  6. Step 6: Final answer
    x = 5,294.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.