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Finding the Fourth Proportional to 21,816.96, 32,729.07 and 7,785.08

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Solution

The fourth proportional to 21,816.96, 32,729.07 and 7,785.08 is: 11,678.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,816.96 : 32,729.07 = 7,785.08 : x
  2. Step 2: Convert to fraction form
    21,816.96/32,729.07 = 7,785.08/x
  3. Step 3: Cross multiply
    21,816.96x = 32,729.07 × 7,785.08
  4. Step 4: Simplify right side
    21,816.96x = 254,798,264.63
  5. Step 5: Solve for x
    x = 254,798,264.63/21,816.96
  6. Step 6: Final answer
    x = 11,678.91

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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.