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Finding the Fourth Proportional to 23,257.59, 32,095.80 and 12,647.22

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Solution

The fourth proportional to 23,257.59, 32,095.80 and 12,647.22 is: 17,453.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,257.59 : 32,095.80 = 12,647.22 : x
  2. Step 2: Convert to fraction form
    23,257.59/32,095.80 = 12,647.22/x
  3. Step 3: Cross multiply
    23,257.59x = 32,095.80 × 12,647.22
  4. Step 4: Simplify right side
    23,257.59x = 405,922,643.68
  5. Step 5: Solve for x
    x = 405,922,643.68/23,257.59
  6. Step 6: Final answer
    x = 17,453.34

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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.