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Finding the Fourth Proportional to 22,197.06, 30,632.01 and 12,765

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Solution

The fourth proportional to 22,197.06, 30,632.01 and 12,765 is: 17,615.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,197.06 : 30,632.01 = 12,765 : x
  2. Step 2: Convert to fraction form
    22,197.06/30,632.01 = 12,765/x
  3. Step 3: Cross multiply
    22,197.06x = 30,632.01 × 12,765
  4. Step 4: Simplify right side
    22,197.06x = 391,017,607.65
  5. Step 5: Solve for x
    x = 391,017,607.65/22,197.06
  6. Step 6: Final answer
    x = 17,615.74

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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.