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Finding the Fourth Proportional to 21,829.68, 32,726.01 and 7,785.48

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Solution

The fourth proportional to 21,829.68, 32,726.01 and 7,785.48 is: 11,671.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,829.68 : 32,726.01 = 7,785.48 : x
  2. Step 2: Convert to fraction form
    21,829.68/32,726.01 = 7,785.48/x
  3. Step 3: Cross multiply
    21,829.68x = 32,726.01 × 7,785.48
  4. Step 4: Simplify right side
    21,829.68x = 254,787,696.33
  5. Step 5: Solve for x
    x = 254,787,696.33/21,829.68
  6. Step 6: Final answer
    x = 11,671.62

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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.