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Finding the Fourth Proportional to 23,573.84, 32,532.03 and 12,964.19

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Solution

The fourth proportional to 23,573.84, 32,532.03 and 12,964.19 is: 17,890.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,573.84 : 32,532.03 = 12,964.19 : x
  2. Step 2: Convert to fraction form
    23,573.84/32,532.03 = 12,964.19/x
  3. Step 3: Cross multiply
    23,573.84x = 32,532.03 × 12,964.19
  4. Step 4: Simplify right side
    23,573.84x = 421,751,255.35
  5. Step 5: Solve for x
    x = 421,751,255.35/23,573.84
  6. Step 6: Final answer
    x = 17,890.65

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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.