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Finding the Fourth Proportional to 22,730.67, 31,368.24 and 12,659.24

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Solution

The fourth proportional to 22,730.67, 31,368.24 and 12,659.24 is: 17,469.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,730.67 : 31,368.24 = 12,659.24 : x
  2. Step 2: Convert to fraction form
    22,730.67/31,368.24 = 12,659.24/x
  3. Step 3: Cross multiply
    22,730.67x = 31,368.24 × 12,659.24
  4. Step 4: Simplify right side
    22,730.67x = 397,097,921.70
  5. Step 5: Solve for x
    x = 397,097,921.70/22,730.67
  6. Step 6: Final answer
    x = 17,469.70

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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.