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Finding the Fourth Proportional to 21,476.70, 32,224.65 and 9,783.90

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Solution

The fourth proportional to 21,476.70, 32,224.65 and 9,783.90 is: 14,680.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,476.70 : 32,224.65 = 9,783.90 : x
  2. Step 2: Convert to fraction form
    21,476.70/32,224.65 = 9,783.90/x
  3. Step 3: Cross multiply
    21,476.70x = 32,224.65 × 9,783.90
  4. Step 4: Simplify right side
    21,476.70x = 315,282,753.14
  5. Step 5: Solve for x
    x = 315,282,753.14/21,476.70
  6. Step 6: Final answer
    x = 14,680.22

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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.