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Finding the Fourth Proportional to 23,257.96, 32,093.90 and 12,909.98

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Solution

The fourth proportional to 23,257.96, 32,093.90 and 12,909.98 is: 17,814.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,257.96 : 32,093.90 = 12,909.98 : x
  2. Step 2: Convert to fraction form
    23,257.96/32,093.90 = 12,909.98/x
  3. Step 3: Cross multiply
    23,257.96x = 32,093.90 × 12,909.98
  4. Step 4: Simplify right side
    23,257.96x = 414,331,607.12
  5. Step 5: Solve for x
    x = 414,331,607.12/23,257.96
  6. Step 6: Final answer
    x = 17,814.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.