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Finding the Fourth Proportional to 24,831.40, 37,239.18 and 8,187.64

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Solution

The fourth proportional to 24,831.40, 37,239.18 and 8,187.64 is: 12,278.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,831.40 : 37,239.18 = 8,187.64 : x
  2. Step 2: Convert to fraction form
    24,831.40/37,239.18 = 8,187.64/x
  3. Step 3: Cross multiply
    24,831.40x = 37,239.18 × 8,187.64
  4. Step 4: Simplify right side
    24,831.40x = 304,900,999.74
  5. Step 5: Solve for x
    x = 304,900,999.74/24,831.40
  6. Step 6: Final answer
    x = 12,278.85

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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.