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Finding the Fourth Proportional to 13,133.52, 18,124.44 and 7,831.41

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Solution

The fourth proportional to 13,133.52, 18,124.44 and 7,831.41 is: 10,807.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,133.52 : 18,124.44 = 7,831.41 : x
  2. Step 2: Convert to fraction form
    13,133.52/18,124.44 = 7,831.41/x
  3. Step 3: Cross multiply
    13,133.52x = 18,124.44 × 7,831.41
  4. Step 4: Simplify right side
    13,133.52x = 141,939,920.66
  5. Step 5: Solve for x
    x = 141,939,920.66/13,133.52
  6. Step 6: Final answer
    x = 10,807.45

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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.