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Finding the Fourth Proportional to 21,702.73, 32,561.15 and 9,855.10

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Solution

The fourth proportional to 21,702.73, 32,561.15 and 9,855.10 is: 14,785.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,702.73 : 32,561.15 = 9,855.10 : x
  2. Step 2: Convert to fraction form
    21,702.73/32,561.15 = 9,855.10/x
  3. Step 3: Cross multiply
    21,702.73x = 32,561.15 × 9,855.10
  4. Step 4: Simplify right side
    21,702.73x = 320,893,389.37
  5. Step 5: Solve for x
    x = 320,893,389.37/21,702.73
  6. Step 6: Final answer
    x = 14,785.85

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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.