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Finding the Fourth Proportional to 23,574.46, 32,533.64 and 12,963.86

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Solution

The fourth proportional to 23,574.46, 32,533.64 and 12,963.86 is: 17,890.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,574.46 : 32,533.64 = 12,963.86 : x
  2. Step 2: Convert to fraction form
    23,574.46/32,533.64 = 12,963.86/x
  3. Step 3: Cross multiply
    23,574.46x = 32,533.64 × 12,963.86
  4. Step 4: Simplify right side
    23,574.46x = 421,761,554.25
  5. Step 5: Solve for x
    x = 421,761,554.25/23,574.46
  6. Step 6: Final answer
    x = 17,890.61

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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.