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Finding the Fourth Proportional to 23,244.72, 32,078.34 and 12,635.07

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Solution

The fourth proportional to 23,244.72, 32,078.34 and 12,635.07 is: 17,436.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,244.72 : 32,078.34 = 12,635.07 : x
  2. Step 2: Convert to fraction form
    23,244.72/32,078.34 = 12,635.07/x
  3. Step 3: Cross multiply
    23,244.72x = 32,078.34 × 12,635.07
  4. Step 4: Simplify right side
    23,244.72x = 405,312,071.38
  5. Step 5: Solve for x
    x = 405,312,071.38/23,244.72
  6. Step 6: Final answer
    x = 17,436.74

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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.