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Finding the Fourth Proportional to 13,046.81, 18,017.38 and 9,023.94

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Solution

The fourth proportional to 13,046.81, 18,017.38 and 9,023.94 is: 12,461.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,046.81 : 18,017.38 = 9,023.94 : x
  2. Step 2: Convert to fraction form
    13,046.81/18,017.38 = 9,023.94/x
  3. Step 3: Cross multiply
    13,046.81x = 18,017.38 × 9,023.94
  4. Step 4: Simplify right side
    13,046.81x = 162,587,756.08
  5. Step 5: Solve for x
    x = 162,587,756.08/13,046.81
  6. Step 6: Final answer
    x = 12,461.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.