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Finding the Fourth Proportional to 13,785.76, 19,028.58 and 8,120.04

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Solution

The fourth proportional to 13,785.76, 19,028.58 and 8,120.04 is: 11,208.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,785.76 : 19,028.58 = 8,120.04 : x
  2. Step 2: Convert to fraction form
    13,785.76/19,028.58 = 8,120.04/x
  3. Step 3: Cross multiply
    13,785.76x = 19,028.58 × 8,120.04
  4. Step 4: Simplify right side
    13,785.76x = 154,512,830.74
  5. Step 5: Solve for x
    x = 154,512,830.74/13,785.76
  6. Step 6: Final answer
    x = 11,208.15

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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.