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Finding the Fourth Proportional to 16,239.72, 22,411 and 9,529.32

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Solution

The fourth proportional to 16,239.72, 22,411 and 9,529.32 is: 13,150.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,239.72 : 22,411 = 9,529.32 : x
  2. Step 2: Convert to fraction form
    16,239.72/22,411 = 9,529.32/x
  3. Step 3: Cross multiply
    16,239.72x = 22,411 × 9,529.32
  4. Step 4: Simplify right side
    16,239.72x = 213,561,590.52
  5. Step 5: Solve for x
    x = 213,561,590.52/16,239.72
  6. Step 6: Final answer
    x = 13,150.57

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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.