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Finding the Fourth Proportional to 13,909.85, 19,195.46 and 7,536.30

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Solution

The fourth proportional to 13,909.85, 19,195.46 and 7,536.30 is: 10,400.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,909.85 : 19,195.46 = 7,536.30 : x
  2. Step 2: Convert to fraction form
    13,909.85/19,195.46 = 7,536.30/x
  3. Step 3: Cross multiply
    13,909.85x = 19,195.46 × 7,536.30
  4. Step 4: Simplify right side
    13,909.85x = 144,662,745.20
  5. Step 5: Solve for x
    x = 144,662,745.20/13,909.85
  6. Step 6: Final answer
    x = 10,400.02

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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.