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Finding the Fourth Proportional to 25,038.78, 34,553.93 and 13,708.09

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Solution

The fourth proportional to 25,038.78, 34,553.93 and 13,708.09 is: 18,917.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,038.78 : 34,553.93 = 13,708.09 : x
  2. Step 2: Convert to fraction form
    25,038.78/34,553.93 = 13,708.09/x
  3. Step 3: Cross multiply
    25,038.78x = 34,553.93 × 13,708.09
  4. Step 4: Simplify right side
    25,038.78x = 473,668,434.05
  5. Step 5: Solve for x
    x = 473,668,434.05/25,038.78
  6. Step 6: Final answer
    x = 18,917.39

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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.