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Finding the Fourth Proportional to 12,374.96, 18,566.58 and 8,231.32

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Solution

The fourth proportional to 12,374.96, 18,566.58 and 8,231.32 is: 12,349.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,374.96 : 18,566.58 = 8,231.32 : x
  2. Step 2: Convert to fraction form
    12,374.96/18,566.58 = 8,231.32/x
  3. Step 3: Cross multiply
    12,374.96x = 18,566.58 × 8,231.32
  4. Step 4: Simplify right side
    12,374.96x = 152,827,461.29
  5. Step 5: Solve for x
    x = 152,827,461.29/12,374.96
  6. Step 6: Final answer
    x = 12,349.73

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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.