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Finding the Fourth Proportional to 13,337.52, 20,006 and 3,476.58

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Solution

The fourth proportional to 13,337.52, 20,006 and 3,476.58 is: 5,214.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,337.52 : 20,006 = 3,476.58 : x
  2. Step 2: Convert to fraction form
    13,337.52/20,006 = 3,476.58/x
  3. Step 3: Cross multiply
    13,337.52x = 20,006 × 3,476.58
  4. Step 4: Simplify right side
    13,337.52x = 69,552,459.48
  5. Step 5: Solve for x
    x = 69,552,459.48/13,337.52
  6. Step 6: Final answer
    x = 5,214.80

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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.