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Finding the Fourth Proportional to 21,816.45, 32,728.32 and 7,784.57

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Solution

The fourth proportional to 21,816.45, 32,728.32 and 7,784.57 is: 11,678.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,816.45 : 32,728.32 = 7,784.57 : x
  2. Step 2: Convert to fraction form
    21,816.45/32,728.32 = 7,784.57/x
  3. Step 3: Cross multiply
    21,816.45x = 32,728.32 × 7,784.57
  4. Step 4: Simplify right side
    21,816.45x = 254,775,898.02
  5. Step 5: Solve for x
    x = 254,775,898.02/21,816.45
  6. Step 6: Final answer
    x = 11,678.16

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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.