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Finding the Fourth Proportional to 13,509.66, 18,645.21 and 7,541.72

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Solution

The fourth proportional to 13,509.66, 18,645.21 and 7,541.72 is: 10,408.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509.66 : 18,645.21 = 7,541.72 : x
  2. Step 2: Convert to fraction form
    13,509.66/18,645.21 = 7,541.72/x
  3. Step 3: Cross multiply
    13,509.66x = 18,645.21 × 7,541.72
  4. Step 4: Simplify right side
    13,509.66x = 140,616,929.85
  5. Step 5: Solve for x
    x = 140,616,929.85/13,509.66
  6. Step 6: Final answer
    x = 10,408.62

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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.