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Finding the Fourth Proportional to 16,507.76, 24,742.94 and 8,193.51

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Solution

The fourth proportional to 16,507.76, 24,742.94 and 8,193.51 is: 12,280.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,507.76 : 24,742.94 = 8,193.51 : x
  2. Step 2: Convert to fraction form
    16,507.76/24,742.94 = 8,193.51/x
  3. Step 3: Cross multiply
    16,507.76x = 24,742.94 × 8,193.51
  4. Step 4: Simplify right side
    16,507.76x = 202,731,485.35
  5. Step 5: Solve for x
    x = 202,731,485.35/16,507.76
  6. Step 6: Final answer
    x = 12,280.98

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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.