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Finding the Fourth Proportional to 21,923.84, 32,885.76 and 7,134.26

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Solution

The fourth proportional to 21,923.84, 32,885.76 and 7,134.26 is: 10,701.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,923.84 : 32,885.76 = 7,134.26 : x
  2. Step 2: Convert to fraction form
    21,923.84/32,885.76 = 7,134.26/x
  3. Step 3: Cross multiply
    21,923.84x = 32,885.76 × 7,134.26
  4. Step 4: Simplify right side
    21,923.84x = 234,615,562.14
  5. Step 5: Solve for x
    x = 234,615,562.14/21,923.84
  6. Step 6: Final answer
    x = 10,701.39

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1.5x scale

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.