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Finding the Fourth Proportional to 16,655.64, 24,982.86 and 4,175.77

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Solution

The fourth proportional to 16,655.64, 24,982.86 and 4,175.77 is: 6,263.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,655.64 : 24,982.86 = 4,175.77 : x
  2. Step 2: Convert to fraction form
    16,655.64/24,982.86 = 4,175.77/x
  3. Step 3: Cross multiply
    16,655.64x = 24,982.86 × 4,175.77
  4. Step 4: Simplify right side
    16,655.64x = 104,322,677.30
  5. Step 5: Solve for x
    x = 104,322,677.30/16,655.64
  6. Step 6: Final answer
    x = 6,263.50

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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.