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Finding the Fourth Proportional to 22,971.70, 31,665.03 and 19,207.33

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Solution

The fourth proportional to 22,971.70, 31,665.03 and 19,207.33 is: 26,476.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,971.70 : 31,665.03 = 19,207.33 : x
  2. Step 2: Convert to fraction form
    22,971.70/31,665.03 = 19,207.33/x
  3. Step 3: Cross multiply
    22,971.70x = 31,665.03 × 19,207.33
  4. Step 4: Simplify right side
    22,971.70x = 608,200,529.48
  5. Step 5: Solve for x
    x = 608,200,529.48/22,971.70
  6. Step 6: Final answer
    x = 26,476.08

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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.