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Finding the Fourth Proportional to 21,931.86, 32,890.02 and 7,138.02

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Solution

The fourth proportional to 21,931.86, 32,890.02 and 7,138.02 is: 10,704.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,931.86 : 32,890.02 = 7,138.02 : x
  2. Step 2: Convert to fraction form
    21,931.86/32,890.02 = 7,138.02/x
  3. Step 3: Cross multiply
    21,931.86x = 32,890.02 × 7,138.02
  4. Step 4: Simplify right side
    21,931.86x = 234,769,620.56
  5. Step 5: Solve for x
    x = 234,769,620.56/21,931.86
  6. Step 6: Final answer
    x = 10,704.50

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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.