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Finding the Fourth Proportional to 25,340.78, 34,970.46 and 14,009.96

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Solution

The fourth proportional to 25,340.78, 34,970.46 and 14,009.96 is: 19,333.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,340.78 : 34,970.46 = 14,009.96 : x
  2. Step 2: Convert to fraction form
    25,340.78/34,970.46 = 14,009.96/x
  3. Step 3: Cross multiply
    25,340.78x = 34,970.46 × 14,009.96
  4. Step 4: Simplify right side
    25,340.78x = 489,934,745.78
  5. Step 5: Solve for x
    x = 489,934,745.78/25,340.78
  6. Step 6: Final answer
    x = 19,333.85

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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.