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Finding the Fourth Proportional to 19,878.84, 27,434.18 and 13,152.82

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Solution

The fourth proportional to 19,878.84, 27,434.18 and 13,152.82 is: 18,151.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,878.84 : 27,434.18 = 13,152.82 : x
  2. Step 2: Convert to fraction form
    19,878.84/27,434.18 = 13,152.82/x
  3. Step 3: Cross multiply
    19,878.84x = 27,434.18 × 13,152.82
  4. Step 4: Simplify right side
    19,878.84x = 360,836,831.39
  5. Step 5: Solve for x
    x = 360,836,831.39/19,878.84
  6. Step 6: Final answer
    x = 18,151.81

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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.