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Finding the Fourth Proportional to 25,893.72, 38,830.86 and 12,033

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Solution

The fourth proportional to 25,893.72, 38,830.86 and 12,033 is: 18,044.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,893.72 : 38,830.86 = 12,033 : x
  2. Step 2: Convert to fraction form
    25,893.72/38,830.86 = 12,033/x
  3. Step 3: Cross multiply
    25,893.72x = 38,830.86 × 12,033
  4. Step 4: Simplify right side
    25,893.72x = 467,251,738.38
  5. Step 5: Solve for x
    x = 467,251,738.38/25,893.72
  6. Step 6: Final answer
    x = 18,044.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.