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Finding the Fourth Proportional to 16,479.66, 22,738.47 and 9,405.90

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Solution

The fourth proportional to 16,479.66, 22,738.47 and 9,405.90 is: 12,978.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,479.66 : 22,738.47 = 9,405.90 : x
  2. Step 2: Convert to fraction form
    16,479.66/22,738.47 = 9,405.90/x
  3. Step 3: Cross multiply
    16,479.66x = 22,738.47 × 9,405.90
  4. Step 4: Simplify right side
    16,479.66x = 213,875,774.97
  5. Step 5: Solve for x
    x = 213,875,774.97/16,479.66
  6. Step 6: Final answer
    x = 12,978.17

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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.