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Finding the Fourth Proportional to 23,674.14, 32,670 and 13,063.50

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Solution

The fourth proportional to 23,674.14, 32,670 and 13,063.50 is: 18,027.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,674.14 : 32,670 = 13,063.50 : x
  2. Step 2: Convert to fraction form
    23,674.14/32,670 = 13,063.50/x
  3. Step 3: Cross multiply
    23,674.14x = 32,670 × 13,063.50
  4. Step 4: Simplify right side
    23,674.14x = 426,784,545
  5. Step 5: Solve for x
    x = 426,784,545/23,674.14
  6. Step 6: Final answer
    x = 18,027.46

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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.