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Finding the Fourth Proportional to 21,974, 32,960.93 and 5,334.02

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Solution

The fourth proportional to 21,974, 32,960.93 and 5,334.02 is: 8,001.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,974 : 32,960.93 = 5,334.02 : x
  2. Step 2: Convert to fraction form
    21,974/32,960.93 = 5,334.02/x
  3. Step 3: Cross multiply
    21,974x = 32,960.93 × 5,334.02
  4. Step 4: Simplify right side
    21,974x = 175,814,233.17
  5. Step 5: Solve for x
    x = 175,814,233.17/21,974
  6. Step 6: Final answer
    x = 8,001.01

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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.