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Finding the Fourth Proportional to 16,502.22, 24,741.81 and 8,172.06

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Solution

The fourth proportional to 16,502.22, 24,741.81 and 8,172.06 is: 12,252.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,502.22 : 24,741.81 = 8,172.06 : x
  2. Step 2: Convert to fraction form
    16,502.22/24,741.81 = 8,172.06/x
  3. Step 3: Cross multiply
    16,502.22x = 24,741.81 × 8,172.06
  4. Step 4: Simplify right side
    16,502.22x = 202,191,555.83
  5. Step 5: Solve for x
    x = 202,191,555.83/16,502.22
  6. Step 6: Final answer
    x = 12,252.39

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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.