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Finding the Fourth Proportional to 16,532.64, 22,809.87 and 9,457.70

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Solution

The fourth proportional to 16,532.64, 22,809.87 and 9,457.70 is: 13,048.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,532.64 : 22,809.87 = 9,457.70 : x
  2. Step 2: Convert to fraction form
    16,532.64/22,809.87 = 9,457.70/x
  3. Step 3: Cross multiply
    16,532.64x = 22,809.87 × 9,457.70
  4. Step 4: Simplify right side
    16,532.64x = 215,728,793.45
  5. Step 5: Solve for x
    x = 215,728,793.45/16,532.64
  6. Step 6: Final answer
    x = 13,048.66

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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.