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Finding the Fourth Proportional to 21,885.20, 32,830.08 and 7,093.52

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Solution

The fourth proportional to 21,885.20, 32,830.08 and 7,093.52 is: 10,641.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,885.20 : 32,830.08 = 7,093.52 : x
  2. Step 2: Convert to fraction form
    21,885.20/32,830.08 = 7,093.52/x
  3. Step 3: Cross multiply
    21,885.20x = 32,830.08 × 7,093.52
  4. Step 4: Simplify right side
    21,885.20x = 232,880,829.08
  5. Step 5: Solve for x
    x = 232,880,829.08/21,885.20
  6. Step 6: Final answer
    x = 10,641.02

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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.