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Finding the Fourth Proportional to 21,784.50, 32,681.61 and 7,933.50

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Solution

The fourth proportional to 21,784.50, 32,681.61 and 7,933.50 is: 11,902.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,784.50 : 32,681.61 = 7,933.50 : x
  2. Step 2: Convert to fraction form
    21,784.50/32,681.61 = 7,933.50/x
  3. Step 3: Cross multiply
    21,784.50x = 32,681.61 × 7,933.50
  4. Step 4: Simplify right side
    21,784.50x = 259,279,552.94
  5. Step 5: Solve for x
    x = 259,279,552.94/21,784.50
  6. Step 6: Final answer
    x = 11,902.02

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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.