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Finding the Fourth Proportional to 11,052.84, 16,578.72 and 9,831.36

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Solution

The fourth proportional to 11,052.84, 16,578.72 and 9,831.36 is: 14,746.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,052.84 : 16,578.72 = 9,831.36 : x
  2. Step 2: Convert to fraction form
    11,052.84/16,578.72 = 9,831.36/x
  3. Step 3: Cross multiply
    11,052.84x = 16,578.72 × 9,831.36
  4. Step 4: Simplify right side
    11,052.84x = 162,991,364.66
  5. Step 5: Solve for x
    x = 162,991,364.66/11,052.84
  6. Step 6: Final answer
    x = 14,746.56

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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.