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Finding the Fourth Proportional to 13,423.64, 20,142.07 and 6,033.47

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Solution

The fourth proportional to 13,423.64, 20,142.07 and 6,033.47 is: 9,053.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,423.64 : 20,142.07 = 6,033.47 : x
  2. Step 2: Convert to fraction form
    13,423.64/20,142.07 = 6,033.47/x
  3. Step 3: Cross multiply
    13,423.64x = 20,142.07 × 6,033.47
  4. Step 4: Simplify right side
    13,423.64x = 121,526,459.29
  5. Step 5: Solve for x
    x = 121,526,459.29/13,423.64
  6. Step 6: Final answer
    x = 9,053.17

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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.