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Finding the Fourth Proportional to 16,643.22, 22,967.24 and 9,569.48

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Solution

The fourth proportional to 16,643.22, 22,967.24 and 9,569.48 is: 13,205.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,643.22 : 22,967.24 = 9,569.48 : x
  2. Step 2: Convert to fraction form
    16,643.22/22,967.24 = 9,569.48/x
  3. Step 3: Cross multiply
    16,643.22x = 22,967.24 × 9,569.48
  4. Step 4: Simplify right side
    16,643.22x = 219,784,543.84
  5. Step 5: Solve for x
    x = 219,784,543.84/16,643.22
  6. Step 6: Final answer
    x = 13,205.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.