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Finding the Fourth Proportional to 22,295.97, 30,762.32 and 13,794.01

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Solution

The fourth proportional to 22,295.97, 30,762.32 and 13,794.01 is: 19,031.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,295.97 : 30,762.32 = 13,794.01 : x
  2. Step 2: Convert to fraction form
    22,295.97/30,762.32 = 13,794.01/x
  3. Step 3: Cross multiply
    22,295.97x = 30,762.32 × 13,794.01
  4. Step 4: Simplify right side
    22,295.97x = 424,335,603.83
  5. Step 5: Solve for x
    x = 424,335,603.83/22,295.97
  6. Step 6: Final answer
    x = 19,031.94

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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.