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Finding the Fourth Proportional to 13,501.87, 18,631.68 and 8,465.89

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Solution

The fourth proportional to 13,501.87, 18,631.68 and 8,465.89 is: 11,682.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,501.87 : 18,631.68 = 8,465.89 : x
  2. Step 2: Convert to fraction form
    13,501.87/18,631.68 = 8,465.89/x
  3. Step 3: Cross multiply
    13,501.87x = 18,631.68 × 8,465.89
  4. Step 4: Simplify right side
    13,501.87x = 157,733,753.40
  5. Step 5: Solve for x
    x = 157,733,753.40/13,501.87
  6. Step 6: Final answer
    x = 11,682.36

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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.