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Finding the Fourth Proportional to 23,374.12, 32,257.04 and 12,764.56

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Solution

The fourth proportional to 23,374.12, 32,257.04 and 12,764.56 is: 17,615.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,374.12 : 32,257.04 = 12,764.56 : x
  2. Step 2: Convert to fraction form
    23,374.12/32,257.04 = 12,764.56/x
  3. Step 3: Cross multiply
    23,374.12x = 32,257.04 × 12,764.56
  4. Step 4: Simplify right side
    23,374.12x = 411,746,922.50
  5. Step 5: Solve for x
    x = 411,746,922.50/23,374.12
  6. Step 6: Final answer
    x = 17,615.50

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