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Finding the Fourth Proportional to 16,365.78, 22,584.93 and 9,292.36

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Solution

The fourth proportional to 16,365.78, 22,584.93 and 9,292.36 is: 12,823.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,365.78 : 22,584.93 = 9,292.36 : x
  2. Step 2: Convert to fraction form
    16,365.78/22,584.93 = 9,292.36/x
  3. Step 3: Cross multiply
    16,365.78x = 22,584.93 × 9,292.36
  4. Step 4: Simplify right side
    16,365.78x = 209,867,300.13
  5. Step 5: Solve for x
    x = 209,867,300.13/16,365.78
  6. Step 6: Final answer
    x = 12,823.54

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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.