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Finding the Fourth Proportional to 22,507.29, 33,742.67 and 9,369.50

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Solution

The fourth proportional to 22,507.29, 33,742.67 and 9,369.50 is: 14,046.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,507.29 : 33,742.67 = 9,369.50 : x
  2. Step 2: Convert to fraction form
    22,507.29/33,742.67 = 9,369.50/x
  3. Step 3: Cross multiply
    22,507.29x = 33,742.67 × 9,369.50
  4. Step 4: Simplify right side
    22,507.29x = 316,151,731.00
  5. Step 5: Solve for x
    x = 316,151,731.00/22,507.29
  6. Step 6: Final answer
    x = 14,046.64

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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.