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Finding the Fourth Proportional to 14,978.53, 22,449.84 and 6,649.17

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Solution

The fourth proportional to 14,978.53, 22,449.84 and 6,649.17 is: 9,965.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,978.53 : 22,449.84 = 6,649.17 : x
  2. Step 2: Convert to fraction form
    14,978.53/22,449.84 = 6,649.17/x
  3. Step 3: Cross multiply
    14,978.53x = 22,449.84 × 6,649.17
  4. Step 4: Simplify right side
    14,978.53x = 149,272,802.63
  5. Step 5: Solve for x
    x = 149,272,802.63/14,978.53
  6. Step 6: Final answer
    x = 9,965.78

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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.