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Finding the Fourth Proportional to 21,311.40, 31,965.95 and 6,520.32

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Solution

The fourth proportional to 21,311.40, 31,965.95 and 6,520.32 is: 9,780.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,311.40 : 31,965.95 = 6,520.32 : x
  2. Step 2: Convert to fraction form
    21,311.40/31,965.95 = 6,520.32/x
  3. Step 3: Cross multiply
    21,311.40x = 31,965.95 × 6,520.32
  4. Step 4: Simplify right side
    21,311.40x = 208,428,190.50
  5. Step 5: Solve for x
    x = 208,428,190.50/21,311.40
  6. Step 6: Final answer
    x = 9,780.13

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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.