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Finding the Fourth Proportional to 25,369.63, 38,054.60 and 6,649.50

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Solution

The fourth proportional to 25,369.63, 38,054.60 and 6,649.50 is: 9,974.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,369.63 : 38,054.60 = 6,649.50 : x
  2. Step 2: Convert to fraction form
    25,369.63/38,054.60 = 6,649.50/x
  3. Step 3: Cross multiply
    25,369.63x = 38,054.60 × 6,649.50
  4. Step 4: Simplify right side
    25,369.63x = 253,044,061.74
  5. Step 5: Solve for x
    x = 253,044,061.74/25,369.63
  6. Step 6: Final answer
    x = 9,974.29

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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.