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Finding the Fourth Proportional to 13,347, 20,016.90 and 5,026.44

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Solution

The fourth proportional to 13,347, 20,016.90 and 5,026.44 is: 7,538.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,347 : 20,016.90 = 5,026.44 : x
  2. Step 2: Convert to fraction form
    13,347/20,016.90 = 5,026.44/x
  3. Step 3: Cross multiply
    13,347x = 20,016.90 × 5,026.44
  4. Step 4: Simplify right side
    13,347x = 100,613,746.84
  5. Step 5: Solve for x
    x = 100,613,746.84/13,347
  6. Step 6: Final answer
    x = 7,538.30

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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.