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Finding the Fourth Proportional to 25,029.54, 34,540.83 and 13,851.54

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Solution

The fourth proportional to 25,029.54, 34,540.83 and 13,851.54 is: 19,115.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,029.54 : 34,540.83 = 13,851.54 : x
  2. Step 2: Convert to fraction form
    25,029.54/34,540.83 = 13,851.54/x
  3. Step 3: Cross multiply
    25,029.54x = 34,540.83 × 13,851.54
  4. Step 4: Simplify right side
    25,029.54x = 478,443,688.38
  5. Step 5: Solve for x
    x = 478,443,688.38/25,029.54
  6. Step 6: Final answer
    x = 19,115.16

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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.