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Finding the Fourth Proportional to 23,347.68, 32,219.75 and 12,737.31

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Solution

The fourth proportional to 23,347.68, 32,219.75 and 12,737.31 is: 17,577.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,347.68 : 32,219.75 = 12,737.31 : x
  2. Step 2: Convert to fraction form
    23,347.68/32,219.75 = 12,737.31/x
  3. Step 3: Cross multiply
    23,347.68x = 32,219.75 × 12,737.31
  4. Step 4: Simplify right side
    23,347.68x = 410,392,943.87
  5. Step 5: Solve for x
    x = 410,392,943.87/23,347.68
  6. Step 6: Final answer
    x = 17,577.46

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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.