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Finding the Fourth Proportional to 16,497.09, 24,742.89 and 5,965.07

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Solution

The fourth proportional to 16,497.09, 24,742.89 and 5,965.07 is: 8,946.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,497.09 : 24,742.89 = 5,965.07 : x
  2. Step 2: Convert to fraction form
    16,497.09/24,742.89 = 5,965.07/x
  3. Step 3: Cross multiply
    16,497.09x = 24,742.89 × 5,965.07
  4. Step 4: Simplify right side
    16,497.09x = 147,592,947.14
  5. Step 5: Solve for x
    x = 147,592,947.14/16,497.09
  6. Step 6: Final answer
    x = 8,946.60

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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.