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Finding the Fourth Proportional to 22,984, 31,722.32 and 15,012.48

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Solution

The fourth proportional to 22,984, 31,722.32 and 15,012.48 is: 20,720.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,984 : 31,722.32 = 15,012.48 : x
  2. Step 2: Convert to fraction form
    22,984/31,722.32 = 15,012.48/x
  3. Step 3: Cross multiply
    22,984x = 31,722.32 × 15,012.48
  4. Step 4: Simplify right side
    22,984x = 476,230,694.55
  5. Step 5: Solve for x
    x = 476,230,694.55/22,984
  6. Step 6: Final answer
    x = 20,720.10

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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.