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Finding the Fourth Proportional to 13,538.48, 18,682.32 and 7,488.35

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Solution

The fourth proportional to 13,538.48, 18,682.32 and 7,488.35 is: 10,333.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,538.48 : 18,682.32 = 7,488.35 : x
  2. Step 2: Convert to fraction form
    13,538.48/18,682.32 = 7,488.35/x
  3. Step 3: Cross multiply
    13,538.48x = 18,682.32 × 7,488.35
  4. Step 4: Simplify right side
    13,538.48x = 139,899,797.68
  5. Step 5: Solve for x
    x = 139,899,797.68/13,538.48
  6. Step 6: Final answer
    x = 10,333.50

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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.