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Finding the Fourth Proportional to 23,802.41, 35,691.13 and 8,216.33

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Solution

The fourth proportional to 23,802.41, 35,691.13 and 8,216.33 is: 12,320.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,802.41 : 35,691.13 = 8,216.33 : x
  2. Step 2: Convert to fraction form
    23,802.41/35,691.13 = 8,216.33/x
  3. Step 3: Cross multiply
    23,802.41x = 35,691.13 × 8,216.33
  4. Step 4: Simplify right side
    23,802.41x = 293,249,903.16
  5. Step 5: Solve for x
    x = 293,249,903.16/23,802.41
  6. Step 6: Final answer
    x = 12,320.18

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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.