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Finding the Fourth Proportional to 14,661.34, 20,232.16 and 8,689.46

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Solution

The fourth proportional to 14,661.34, 20,232.16 and 8,689.46 is: 11,991.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,661.34 : 20,232.16 = 8,689.46 : x
  2. Step 2: Convert to fraction form
    14,661.34/20,232.16 = 8,689.46/x
  3. Step 3: Cross multiply
    14,661.34x = 20,232.16 × 8,689.46
  4. Step 4: Simplify right side
    14,661.34x = 175,806,599.18
  5. Step 5: Solve for x
    x = 175,806,599.18/14,661.34
  6. Step 6: Final answer
    x = 11,991.17

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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.