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Finding the Fourth Proportional to 13,378.36, 18,457.18 and 8,665.24

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Solution

The fourth proportional to 13,378.36, 18,457.18 and 8,665.24 is: 11,954.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,378.36 : 18,457.18 = 8,665.24 : x
  2. Step 2: Convert to fraction form
    13,378.36/18,457.18 = 8,665.24/x
  3. Step 3: Cross multiply
    13,378.36x = 18,457.18 × 8,665.24
  4. Step 4: Simplify right side
    13,378.36x = 159,935,894.42
  5. Step 5: Solve for x
    x = 159,935,894.42/13,378.36
  6. Step 6: Final answer
    x = 11,954.82

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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.