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Finding the Fourth Proportional to 21,348.52, 32,024.32 and 8,200.89

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Solution

The fourth proportional to 21,348.52, 32,024.32 and 8,200.89 is: 12,301.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,348.52 : 32,024.32 = 8,200.89 : x
  2. Step 2: Convert to fraction form
    21,348.52/32,024.32 = 8,200.89/x
  3. Step 3: Cross multiply
    21,348.52x = 32,024.32 × 8,200.89
  4. Step 4: Simplify right side
    21,348.52x = 262,627,925.64
  5. Step 5: Solve for x
    x = 262,627,925.64/21,348.52
  6. Step 6: Final answer
    x = 12,301.93

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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.