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Finding the Fourth Proportional to 22,319.78, 33,451.02 and 9,831.74

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Solution

The fourth proportional to 22,319.78, 33,451.02 and 9,831.74 is: 14,734.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,319.78 : 33,451.02 = 9,831.74 : x
  2. Step 2: Convert to fraction form
    22,319.78/33,451.02 = 9,831.74/x
  3. Step 3: Cross multiply
    22,319.78x = 33,451.02 × 9,831.74
  4. Step 4: Simplify right side
    22,319.78x = 328,881,731.37
  5. Step 5: Solve for x
    x = 328,881,731.37/22,319.78
  6. Step 6: Final answer
    x = 14,734.99

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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.