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Finding the Fourth Proportional to 22,653.36, 33,969 and 9,502.20

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Solution

The fourth proportional to 22,653.36, 33,969 and 9,502.20 is: 14,248.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,653.36 : 33,969 = 9,502.20 : x
  2. Step 2: Convert to fraction form
    22,653.36/33,969 = 9,502.20/x
  3. Step 3: Cross multiply
    22,653.36x = 33,969 × 9,502.20
  4. Step 4: Simplify right side
    22,653.36x = 322,780,231.80
  5. Step 5: Solve for x
    x = 322,780,231.80/22,653.36
  6. Step 6: Final answer
    x = 14,248.67

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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.