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Finding the Fourth Proportional to 16,507.48, 24,767.70 and 7,267

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Solution

The fourth proportional to 16,507.48, 24,767.70 and 7,267 is: 10,903.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,507.48 : 24,767.70 = 7,267 : x
  2. Step 2: Convert to fraction form
    16,507.48/24,767.70 = 7,267/x
  3. Step 3: Cross multiply
    16,507.48x = 24,767.70 × 7,267
  4. Step 4: Simplify right side
    16,507.48x = 179,986,875.90
  5. Step 5: Solve for x
    x = 179,986,875.90/16,507.48
  6. Step 6: Final answer
    x = 10,903.35

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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.