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Finding the Fourth Proportional to 22,506.32, 33,755.64 and 9,355.16

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Solution

The fourth proportional to 22,506.32, 33,755.64 and 9,355.16 is: 14,031.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,506.32 : 33,755.64 = 9,355.16 : x
  2. Step 2: Convert to fraction form
    22,506.32/33,755.64 = 9,355.16/x
  3. Step 3: Cross multiply
    22,506.32x = 33,755.64 × 9,355.16
  4. Step 4: Simplify right side
    22,506.32x = 315,789,462.41
  5. Step 5: Solve for x
    x = 315,789,462.41/22,506.32
  6. Step 6: Final answer
    x = 14,031.14

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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.