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Finding the Fourth Proportional to 13,466.46, 18,581.94 and 7,497.66

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Solution

The fourth proportional to 13,466.46, 18,581.94 and 7,497.66 is: 10,345.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,466.46 : 18,581.94 = 7,497.66 : x
  2. Step 2: Convert to fraction form
    13,466.46/18,581.94 = 7,497.66/x
  3. Step 3: Cross multiply
    13,466.46x = 18,581.94 × 7,497.66
  4. Step 4: Simplify right side
    13,466.46x = 139,321,068.26
  5. Step 5: Solve for x
    x = 139,321,068.26/13,466.46
  6. Step 6: Final answer
    x = 10,345.78

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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.