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Finding the Fourth Proportional to 13,101.84, 19,630.86 and 5,695.20

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Solution

The fourth proportional to 13,101.84, 19,630.86 and 5,695.20 is: 8,533.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,101.84 : 19,630.86 = 5,695.20 : x
  2. Step 2: Convert to fraction form
    13,101.84/19,630.86 = 5,695.20/x
  3. Step 3: Cross multiply
    13,101.84x = 19,630.86 × 5,695.20
  4. Step 4: Simplify right side
    13,101.84x = 111,801,673.87
  5. Step 5: Solve for x
    x = 111,801,673.87/13,101.84
  6. Step 6: Final answer
    x = 8,533.28

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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.