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Finding the Fourth Proportional to 21,661.52, 32,492.27 and 6,078.74

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Solution

The fourth proportional to 21,661.52, 32,492.27 and 6,078.74 is: 9,118.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,661.52 : 32,492.27 = 6,078.74 : x
  2. Step 2: Convert to fraction form
    21,661.52/32,492.27 = 6,078.74/x
  3. Step 3: Cross multiply
    21,661.52x = 32,492.27 × 6,078.74
  4. Step 4: Simplify right side
    21,661.52x = 197,511,914.08
  5. Step 5: Solve for x
    x = 197,511,914.08/21,661.52
  6. Step 6: Final answer
    x = 9,118.10

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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.