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Finding the Fourth Proportional to 22,113, 33,184.08 and 8,262

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Solution

The fourth proportional to 22,113, 33,184.08 and 8,262 is: 12,398.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,113 : 33,184.08 = 8,262 : x
  2. Step 2: Convert to fraction form
    22,113/33,184.08 = 8,262/x
  3. Step 3: Cross multiply
    22,113x = 33,184.08 × 8,262
  4. Step 4: Simplify right side
    22,113x = 274,166,868.96
  5. Step 5: Solve for x
    x = 274,166,868.96/22,113
  6. Step 6: Final answer
    x = 12,398.45

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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.