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Finding the Fourth Proportional to 25,295, 34,907.12 and 14,117

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Solution

The fourth proportional to 25,295, 34,907.12 and 14,117 is: 19,481.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,295 : 34,907.12 = 14,117 : x
  2. Step 2: Convert to fraction form
    25,295/34,907.12 = 14,117/x
  3. Step 3: Cross multiply
    25,295x = 34,907.12 × 14,117
  4. Step 4: Simplify right side
    25,295x = 492,783,813.04
  5. Step 5: Solve for x
    x = 492,783,813.04/25,295
  6. Step 6: Final answer
    x = 19,481.47

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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.