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Finding the Fourth Proportional to 13,507.19, 20,260.78 and 3,646.46

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Solution

The fourth proportional to 13,507.19, 20,260.78 and 3,646.46 is: 5,469.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,507.19 : 20,260.78 = 3,646.46 : x
  2. Step 2: Convert to fraction form
    13,507.19/20,260.78 = 3,646.46/x
  3. Step 3: Cross multiply
    13,507.19x = 20,260.78 × 3,646.46
  4. Step 4: Simplify right side
    13,507.19x = 73,880,123.84
  5. Step 5: Solve for x
    x = 73,880,123.84/13,507.19
  6. Step 6: Final answer
    x = 5,469.69

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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.