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Finding the Fourth Proportional to 21,397.04, 32,093.72 and 8,400.50

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Solution

The fourth proportional to 21,397.04, 32,093.72 and 8,400.50 is: 12,600.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,397.04 : 32,093.72 = 8,400.50 : x
  2. Step 2: Convert to fraction form
    21,397.04/32,093.72 = 8,400.50/x
  3. Step 3: Cross multiply
    21,397.04x = 32,093.72 × 8,400.50
  4. Step 4: Simplify right side
    21,397.04x = 269,603,294.86
  5. Step 5: Solve for x
    x = 269,603,294.86/21,397.04
  6. Step 6: Final answer
    x = 12,600.03

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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.