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Finding the Fourth Proportional to 28,761.16, 39,690.02 and 16,014

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Solution

The fourth proportional to 28,761.16, 39,690.02 and 16,014 is: 22,099.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,761.16 : 39,690.02 = 16,014 : x
  2. Step 2: Convert to fraction form
    28,761.16/39,690.02 = 16,014/x
  3. Step 3: Cross multiply
    28,761.16x = 39,690.02 × 16,014
  4. Step 4: Simplify right side
    28,761.16x = 635,595,980.28
  5. Step 5: Solve for x
    x = 635,595,980.28/28,761.16
  6. Step 6: Final answer
    x = 22,099.11

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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.