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Finding the Fourth Proportional to 21,925.76, 32,901.60 and 8,084.48

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Solution

The fourth proportional to 21,925.76, 32,901.60 and 8,084.48 is: 12,131.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,925.76 : 32,901.60 = 8,084.48 : x
  2. Step 2: Convert to fraction form
    21,925.76/32,901.60 = 8,084.48/x
  3. Step 3: Cross multiply
    21,925.76x = 32,901.60 × 8,084.48
  4. Step 4: Simplify right side
    21,925.76x = 265,992,327.17
  5. Step 5: Solve for x
    x = 265,992,327.17/21,925.76
  6. Step 6: Final answer
    x = 12,131.50

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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.