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Finding the Fourth Proportional to 23,570.90, 35,361.97 and 6,931.47

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Solution

The fourth proportional to 23,570.90, 35,361.97 and 6,931.47 is: 10,398.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,570.90 : 35,361.97 = 6,931.47 : x
  2. Step 2: Convert to fraction form
    23,570.90/35,361.97 = 6,931.47/x
  3. Step 3: Cross multiply
    23,570.90x = 35,361.97 × 6,931.47
  4. Step 4: Simplify right side
    23,570.90x = 245,110,549.47
  5. Step 5: Solve for x
    x = 245,110,549.47/23,570.90
  6. Step 6: Final answer
    x = 10,398.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.