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Finding the Fourth Proportional to 21,908.24, 32,848.32 and 9,254.56

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Solution

The fourth proportional to 21,908.24, 32,848.32 and 9,254.56 is: 13,875.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,908.24 : 32,848.32 = 9,254.56 : x
  2. Step 2: Convert to fraction form
    21,908.24/32,848.32 = 9,254.56/x
  3. Step 3: Cross multiply
    21,908.24x = 32,848.32 × 9,254.56
  4. Step 4: Simplify right side
    21,908.24x = 303,996,560.96
  5. Step 5: Solve for x
    x = 303,996,560.96/21,908.24
  6. Step 6: Final answer
    x = 13,875.90

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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.