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Finding the Fourth Proportional to 16,308.57, 22,509.86 and 9,239.16

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Solution

The fourth proportional to 16,308.57, 22,509.86 and 9,239.16 is: 12,752.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,308.57 : 22,509.86 = 9,239.16 : x
  2. Step 2: Convert to fraction form
    16,308.57/22,509.86 = 9,239.16/x
  3. Step 3: Cross multiply
    16,308.57x = 22,509.86 × 9,239.16
  4. Step 4: Simplify right side
    16,308.57x = 207,972,198.12
  5. Step 5: Solve for x
    x = 207,972,198.12/16,308.57
  6. Step 6: Final answer
    x = 12,752.33

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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.