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Finding the Fourth Proportional to 13,463.96, 18,581.30 and 7,497.16

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Solution

The fourth proportional to 13,463.96, 18,581.30 and 7,497.16 is: 10,346.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,463.96 : 18,581.30 = 7,497.16 : x
  2. Step 2: Convert to fraction form
    13,463.96/18,581.30 = 7,497.16/x
  3. Step 3: Cross multiply
    13,463.96x = 18,581.30 × 7,497.16
  4. Step 4: Simplify right side
    13,463.96x = 139,306,979.11
  5. Step 5: Solve for x
    x = 139,306,979.11/13,463.96
  6. Step 6: Final answer
    x = 10,346.66

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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.