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Finding the Fourth Proportional to 25,265.08, 37,897.86 and 9,679

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Solution

The fourth proportional to 25,265.08, 37,897.86 and 9,679 is: 14,518.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,265.08 : 37,897.86 = 9,679 : x
  2. Step 2: Convert to fraction form
    25,265.08/37,897.86 = 9,679/x
  3. Step 3: Cross multiply
    25,265.08x = 37,897.86 × 9,679
  4. Step 4: Simplify right side
    25,265.08x = 366,813,386.94
  5. Step 5: Solve for x
    x = 366,813,386.94/25,265.08
  6. Step 6: Final answer
    x = 14,518.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.