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Finding the Fourth Proportional to 21,385.80, 32,077.98 and 9,690.84

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Solution

The fourth proportional to 21,385.80, 32,077.98 and 9,690.84 is: 14,535.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,385.80 : 32,077.98 = 9,690.84 : x
  2. Step 2: Convert to fraction form
    21,385.80/32,077.98 = 9,690.84/x
  3. Step 3: Cross multiply
    21,385.80x = 32,077.98 × 9,690.84
  4. Step 4: Simplify right side
    21,385.80x = 310,862,571.70
  5. Step 5: Solve for x
    x = 310,862,571.70/21,385.80
  6. Step 6: Final answer
    x = 14,535.93

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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.