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Finding the Fourth Proportional to 21,816.17, 32,692.90 and 9,332.81

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Solution

The fourth proportional to 21,816.17, 32,692.90 and 9,332.81 is: 13,985.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,816.17 : 32,692.90 = 9,332.81 : x
  2. Step 2: Convert to fraction form
    21,816.17/32,692.90 = 9,332.81/x
  3. Step 3: Cross multiply
    21,816.17x = 32,692.90 × 9,332.81
  4. Step 4: Simplify right side
    21,816.17x = 305,116,624.05
  5. Step 5: Solve for x
    x = 305,116,624.05/21,816.17
  6. Step 6: Final answer
    x = 13,985.80

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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.