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Finding the Fourth Proportional to 23,347.69, 32,219.77 and 12,737.32

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Solution

The fourth proportional to 23,347.69, 32,219.77 and 12,737.32 is: 17,577.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,347.69 : 32,219.77 = 12,737.32 : x
  2. Step 2: Convert to fraction form
    23,347.69/32,219.77 = 12,737.32/x
  3. Step 3: Cross multiply
    23,347.69x = 32,219.77 × 12,737.32
  4. Step 4: Simplify right side
    23,347.69x = 410,393,601.37
  5. Step 5: Solve for x
    x = 410,393,601.37/23,347.69
  6. Step 6: Final answer
    x = 17,577.48

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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.