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Finding the Fourth Proportional to 21,462.96, 32,194.56 and 9,768

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Solution

The fourth proportional to 21,462.96, 32,194.56 and 9,768 is: 14,652.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,462.96 : 32,194.56 = 9,768 : x
  2. Step 2: Convert to fraction form
    21,462.96/32,194.56 = 9,768/x
  3. Step 3: Cross multiply
    21,462.96x = 32,194.56 × 9,768
  4. Step 4: Simplify right side
    21,462.96x = 314,476,462.08
  5. Step 5: Solve for x
    x = 314,476,462.08/21,462.96
  6. Step 6: Final answer
    x = 14,652.05

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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.