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Finding the Fourth Proportional to 16,778.22, 23,152.08 and 10,064.13

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Solution

The fourth proportional to 16,778.22, 23,152.08 and 10,064.13 is: 13,887.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,778.22 : 23,152.08 = 10,064.13 : x
  2. Step 2: Convert to fraction form
    16,778.22/23,152.08 = 10,064.13/x
  3. Step 3: Cross multiply
    16,778.22x = 23,152.08 × 10,064.13
  4. Step 4: Simplify right side
    16,778.22x = 233,005,542.89
  5. Step 5: Solve for x
    x = 233,005,542.89/16,778.22
  6. Step 6: Final answer
    x = 13,887.38

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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.