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Finding the Fourth Proportional to 22,357.64, 33,543.48 and 9,216.20

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Solution

The fourth proportional to 22,357.64, 33,543.48 and 9,216.20 is: 13,827.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,357.64 : 33,543.48 = 9,216.20 : x
  2. Step 2: Convert to fraction form
    22,357.64/33,543.48 = 9,216.20/x
  3. Step 3: Cross multiply
    22,357.64x = 33,543.48 × 9,216.20
  4. Step 4: Simplify right side
    22,357.64x = 309,143,420.38
  5. Step 5: Solve for x
    x = 309,143,420.38/22,357.64
  6. Step 6: Final answer
    x = 13,827.19

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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.