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Finding the Fourth Proportional to 13,920.09, 20,880.14 and 6,529.74

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Solution

The fourth proportional to 13,920.09, 20,880.14 and 6,529.74 is: 9,794.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,920.09 : 20,880.14 = 6,529.74 : x
  2. Step 2: Convert to fraction form
    13,920.09/20,880.14 = 6,529.74/x
  3. Step 3: Cross multiply
    13,920.09x = 20,880.14 × 6,529.74
  4. Step 4: Simplify right side
    13,920.09x = 136,341,852.71
  5. Step 5: Solve for x
    x = 136,341,852.71/13,920.09
  6. Step 6: Final answer
    x = 9,794.61

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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.