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Finding the Fourth Proportional to 16,372.77, 24,583.77 and 9,828.24

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Solution

The fourth proportional to 16,372.77, 24,583.77 and 9,828.24 is: 14,757.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,372.77 : 24,583.77 = 9,828.24 : x
  2. Step 2: Convert to fraction form
    16,372.77/24,583.77 = 9,828.24/x
  3. Step 3: Cross multiply
    16,372.77x = 24,583.77 × 9,828.24
  4. Step 4: Simplify right side
    16,372.77x = 241,615,191.66
  5. Step 5: Solve for x
    x = 241,615,191.66/16,372.77
  6. Step 6: Final answer
    x = 14,757.14

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1.5x scale

Why These Related Problems?

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