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Finding the Fourth Proportional to 19,685.44, 29,495.29 and 13,831.57

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Solution

The fourth proportional to 19,685.44, 29,495.29 and 13,831.57 is: 20,724.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,685.44 : 29,495.29 = 13,831.57 : x
  2. Step 2: Convert to fraction form
    19,685.44/29,495.29 = 13,831.57/x
  3. Step 3: Cross multiply
    19,685.44x = 29,495.29 × 13,831.57
  4. Step 4: Simplify right side
    19,685.44x = 407,966,133.73
  5. Step 5: Solve for x
    x = 407,966,133.73/19,685.44
  6. Step 6: Final answer
    x = 20,724.26

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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.