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Finding the Fourth Proportional to 14,204.88, 19,601.81 and 7,831.53

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Solution

The fourth proportional to 14,204.88, 19,601.81 and 7,831.53 is: 10,807.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,204.88 : 19,601.81 = 7,831.53 : x
  2. Step 2: Convert to fraction form
    14,204.88/19,601.81 = 7,831.53/x
  3. Step 3: Cross multiply
    14,204.88x = 19,601.81 × 7,831.53
  4. Step 4: Simplify right side
    14,204.88x = 153,512,153.28
  5. Step 5: Solve for x
    x = 153,512,153.28/14,204.88
  6. Step 6: Final answer
    x = 10,807.00

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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.