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Finding the Fourth Proportional to 21,785.68, 32,678.48 and 15,224.68

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Solution

The fourth proportional to 21,785.68, 32,678.48 and 15,224.68 is: 22,836.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,785.68 : 32,678.48 = 15,224.68 : x
  2. Step 2: Convert to fraction form
    21,785.68/32,678.48 = 15,224.68/x
  3. Step 3: Cross multiply
    21,785.68x = 32,678.48 × 15,224.68
  4. Step 4: Simplify right side
    21,785.68x = 497,519,400.89
  5. Step 5: Solve for x
    x = 497,519,400.89/21,785.68
  6. Step 6: Final answer
    x = 22,836.99

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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.