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Finding the Fourth Proportional to 22,552.41, 33,831.86 and 6,971.25

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Solution

The fourth proportional to 22,552.41, 33,831.86 and 6,971.25 is: 10,457.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,552.41 : 33,831.86 = 6,971.25 : x
  2. Step 2: Convert to fraction form
    22,552.41/33,831.86 = 6,971.25/x
  3. Step 3: Cross multiply
    22,552.41x = 33,831.86 × 6,971.25
  4. Step 4: Simplify right side
    22,552.41x = 235,850,319.17
  5. Step 5: Solve for x
    x = 235,850,319.17/22,552.41
  6. Step 6: Final answer
    x = 10,457.88

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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.