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Finding the Fourth Proportional to 22,972.02, 31,701.72 and 12,902.64

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Solution

The fourth proportional to 22,972.02, 31,701.72 and 12,902.64 is: 17,805.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,972.02 : 31,701.72 = 12,902.64 : x
  2. Step 2: Convert to fraction form
    22,972.02/31,701.72 = 12,902.64/x
  3. Step 3: Cross multiply
    22,972.02x = 31,701.72 × 12,902.64
  4. Step 4: Simplify right side
    22,972.02x = 409,035,880.54
  5. Step 5: Solve for x
    x = 409,035,880.54/22,972.02
  6. Step 6: Final answer
    x = 17,805.83

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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.