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Finding the Fourth Proportional to 22,998.74, 31,738.59 and 13,441.14

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Solution

The fourth proportional to 22,998.74, 31,738.59 and 13,441.14 is: 18,548.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,998.74 : 31,738.59 = 13,441.14 : x
  2. Step 2: Convert to fraction form
    22,998.74/31,738.59 = 13,441.14/x
  3. Step 3: Cross multiply
    22,998.74x = 31,738.59 × 13,441.14
  4. Step 4: Simplify right side
    22,998.74x = 426,602,831.59
  5. Step 5: Solve for x
    x = 426,602,831.59/22,998.74
  6. Step 6: Final answer
    x = 18,548.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.