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Finding the Fourth Proportional to 23,472.64, 35,026.97 and 20,980

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Solution

The fourth proportional to 23,472.64, 35,026.97 and 20,980 is: 31,307.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,472.64 : 35,026.97 = 20,980 : x
  2. Step 2: Convert to fraction form
    23,472.64/35,026.97 = 20,980/x
  3. Step 3: Cross multiply
    23,472.64x = 35,026.97 × 20,980
  4. Step 4: Simplify right side
    23,472.64x = 734,865,830.60
  5. Step 5: Solve for x
    x = 734,865,830.60/23,472.64
  6. Step 6: Final answer
    x = 31,307.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.