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Finding the Fourth Proportional to 25,678.78, 35,438.37 and 14,348.31

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Solution

The fourth proportional to 25,678.78, 35,438.37 and 14,348.31 is: 19,801.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,678.78 : 35,438.37 = 14,348.31 : x
  2. Step 2: Convert to fraction form
    25,678.78/35,438.37 = 14,348.31/x
  3. Step 3: Cross multiply
    25,678.78x = 35,438.37 × 14,348.31
  4. Step 4: Simplify right side
    25,678.78x = 508,480,664.85
  5. Step 5: Solve for x
    x = 508,480,664.85/25,678.78
  6. Step 6: Final answer
    x = 19,801.59

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