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Finding the Fourth Proportional to 14,749.88, 22,130.08 and 6,856.16

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Solution

The fourth proportional to 14,749.88, 22,130.08 and 6,856.16 is: 10,286.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,749.88 : 22,130.08 = 6,856.16 : x
  2. Step 2: Convert to fraction form
    14,749.88/22,130.08 = 6,856.16/x
  3. Step 3: Cross multiply
    14,749.88x = 22,130.08 × 6,856.16
  4. Step 4: Simplify right side
    14,749.88x = 151,727,241.50
  5. Step 5: Solve for x
    x = 151,727,241.50/14,749.88
  6. Step 6: Final answer
    x = 10,286.68

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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.