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Finding the Fourth Proportional to 16,434.50, 22,679.61 and 10,556.74

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Solution

The fourth proportional to 16,434.50, 22,679.61 and 10,556.74 is: 14,568.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,434.50 : 22,679.61 = 10,556.74 : x
  2. Step 2: Convert to fraction form
    16,434.50/22,679.61 = 10,556.74/x
  3. Step 3: Cross multiply
    16,434.50x = 22,679.61 × 10,556.74
  4. Step 4: Simplify right side
    16,434.50x = 239,422,746.07
  5. Step 5: Solve for x
    x = 239,422,746.07/16,434.50
  6. Step 6: Final answer
    x = 14,568.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.