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Finding the Fourth Proportional to 13,410.45, 18,509.30 and 7,746.12

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Solution

The fourth proportional to 13,410.45, 18,509.30 and 7,746.12 is: 10,691.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,410.45 : 18,509.30 = 7,746.12 : x
  2. Step 2: Convert to fraction form
    13,410.45/18,509.30 = 7,746.12/x
  3. Step 3: Cross multiply
    13,410.45x = 18,509.30 × 7,746.12
  4. Step 4: Simplify right side
    13,410.45x = 143,375,220.19
  5. Step 5: Solve for x
    x = 143,375,220.19/13,410.45
  6. Step 6: Final answer
    x = 10,691.31

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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.