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Finding the Fourth Proportional to 13,467.98, 18,585.64 and 7,499.50

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Solution

The fourth proportional to 13,467.98, 18,585.64 and 7,499.50 is: 10,349.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,467.98 : 18,585.64 = 7,499.50 : x
  2. Step 2: Convert to fraction form
    13,467.98/18,585.64 = 7,499.50/x
  3. Step 3: Cross multiply
    13,467.98x = 18,585.64 × 7,499.50
  4. Step 4: Simplify right side
    13,467.98x = 139,383,007.18
  5. Step 5: Solve for x
    x = 139,383,007.18/13,467.98
  6. Step 6: Final answer
    x = 10,349.21

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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.