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Finding the Fourth Proportional to 21,702.20, 32,567.70 and 12,342.20

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Solution

The fourth proportional to 21,702.20, 32,567.70 and 12,342.20 is: 18,521.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,702.20 : 32,567.70 = 12,342.20 : x
  2. Step 2: Convert to fraction form
    21,702.20/32,567.70 = 12,342.20/x
  3. Step 3: Cross multiply
    21,702.20x = 32,567.70 × 12,342.20
  4. Step 4: Simplify right side
    21,702.20x = 401,957,066.94
  5. Step 5: Solve for x
    x = 401,957,066.94/21,702.20
  6. Step 6: Final answer
    x = 18,521.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.