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Finding the Fourth Proportional to 14,660.61, 21,939 and 9,116.56

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Solution

The fourth proportional to 14,660.61, 21,939 and 9,116.56 is: 13,642.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,660.61 : 21,939 = 9,116.56 : x
  2. Step 2: Convert to fraction form
    14,660.61/21,939 = 9,116.56/x
  3. Step 3: Cross multiply
    14,660.61x = 21,939 × 9,116.56
  4. Step 4: Simplify right side
    14,660.61x = 200,008,209.84
  5. Step 5: Solve for x
    x = 200,008,209.84/14,660.61
  6. Step 6: Final answer
    x = 13,642.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.