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Finding the Fourth Proportional to 22,012, 32,980.73 and 15,740.17

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Solution

The fourth proportional to 22,012, 32,980.73 and 15,740.17 is: 23,583.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,012 : 32,980.73 = 15,740.17 : x
  2. Step 2: Convert to fraction form
    22,012/32,980.73 = 15,740.17/x
  3. Step 3: Cross multiply
    22,012x = 32,980.73 × 15,740.17
  4. Step 4: Simplify right side
    22,012x = 519,122,296.92
  5. Step 5: Solve for x
    x = 519,122,296.92/22,012
  6. Step 6: Final answer
    x = 23,583.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.