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Finding the Fourth Proportional to 13,223.74, 19,831.02 and 5,323.90

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Solution

The fourth proportional to 13,223.74, 19,831.02 and 5,323.90 is: 7,984.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,223.74 : 19,831.02 = 5,323.90 : x
  2. Step 2: Convert to fraction form
    13,223.74/19,831.02 = 5,323.90/x
  3. Step 3: Cross multiply
    13,223.74x = 19,831.02 × 5,323.90
  4. Step 4: Simplify right side
    13,223.74x = 105,578,367.38
  5. Step 5: Solve for x
    x = 105,578,367.38/13,223.74
  6. Step 6: Final answer
    x = 7,984.00

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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.