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Finding the Fourth Proportional to 23,374.23, 32,256.63 and 12,764.16

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Solution

The fourth proportional to 23,374.23, 32,256.63 and 12,764.16 is: 17,614.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,374.23 : 32,256.63 = 12,764.16 : x
  2. Step 2: Convert to fraction form
    23,374.23/32,256.63 = 12,764.16/x
  3. Step 3: Cross multiply
    23,374.23x = 32,256.63 × 12,764.16
  4. Step 4: Simplify right side
    23,374.23x = 411,728,786.38
  5. Step 5: Solve for x
    x = 411,728,786.38/23,374.23
  6. Step 6: Final answer
    x = 17,614.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.