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Finding the Fourth Proportional to 22,345.84, 33,523.06 and 8,493.76

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Solution

The fourth proportional to 22,345.84, 33,523.06 and 8,493.76 is: 12,742.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,345.84 : 33,523.06 = 8,493.76 : x
  2. Step 2: Convert to fraction form
    22,345.84/33,523.06 = 8,493.76/x
  3. Step 3: Cross multiply
    22,345.84x = 33,523.06 × 8,493.76
  4. Step 4: Simplify right side
    22,345.84x = 284,736,826.11
  5. Step 5: Solve for x
    x = 284,736,826.11/22,345.84
  6. Step 6: Final answer
    x = 12,742.27

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1.5x scale

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.