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Finding the Fourth Proportional to 13,246.22, 18,271.68 and 7,865.01

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Solution

The fourth proportional to 13,246.22, 18,271.68 and 7,865.01 is: 10,848.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,246.22 : 18,271.68 = 7,865.01 : x
  2. Step 2: Convert to fraction form
    13,246.22/18,271.68 = 7,865.01/x
  3. Step 3: Cross multiply
    13,246.22x = 18,271.68 × 7,865.01
  4. Step 4: Simplify right side
    13,246.22x = 143,706,945.92
  5. Step 5: Solve for x
    x = 143,706,945.92/13,246.22
  6. Step 6: Final answer
    x = 10,848.90

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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.