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Finding the Fourth Proportional to 16,588.68, 24,875.46 and 7,228.32

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Solution

The fourth proportional to 16,588.68, 24,875.46 and 7,228.32 is: 10,839.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,588.68 : 24,875.46 = 7,228.32 : x
  2. Step 2: Convert to fraction form
    16,588.68/24,875.46 = 7,228.32/x
  3. Step 3: Cross multiply
    16,588.68x = 24,875.46 × 7,228.32
  4. Step 4: Simplify right side
    16,588.68x = 179,807,785.03
  5. Step 5: Solve for x
    x = 179,807,785.03/16,588.68
  6. Step 6: Final answer
    x = 10,839.19

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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.