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Finding the Fourth Proportional to 21,686.16, 32,523.64 and 8,538.60

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Solution

The fourth proportional to 21,686.16, 32,523.64 and 8,538.60 is: 12,805.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,686.16 : 32,523.64 = 8,538.60 : x
  2. Step 2: Convert to fraction form
    21,686.16/32,523.64 = 8,538.60/x
  3. Step 3: Cross multiply
    21,686.16x = 32,523.64 × 8,538.60
  4. Step 4: Simplify right side
    21,686.16x = 277,706,352.50
  5. Step 5: Solve for x
    x = 277,706,352.50/21,686.16
  6. Step 6: Final answer
    x = 12,805.70

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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.