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Finding the Fourth Proportional to 13,438.80, 20,158.02 and 4,673.70

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Solution

The fourth proportional to 13,438.80, 20,158.02 and 4,673.70 is: 7,010.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,438.80 : 20,158.02 = 4,673.70 : x
  2. Step 2: Convert to fraction form
    13,438.80/20,158.02 = 4,673.70/x
  3. Step 3: Cross multiply
    13,438.80x = 20,158.02 × 4,673.70
  4. Step 4: Simplify right side
    13,438.80x = 94,212,538.07
  5. Step 5: Solve for x
    x = 94,212,538.07/13,438.80
  6. Step 6: Final answer
    x = 7,010.49

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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.