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Finding the Fourth Proportional to 24,699.28, 37,053.16 and 8,054.64

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Solution

The fourth proportional to 24,699.28, 37,053.16 and 8,054.64 is: 12,083.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,699.28 : 37,053.16 = 8,054.64 : x
  2. Step 2: Convert to fraction form
    24,699.28/37,053.16 = 8,054.64/x
  3. Step 3: Cross multiply
    24,699.28x = 37,053.16 × 8,054.64
  4. Step 4: Simplify right side
    24,699.28x = 298,449,864.66
  5. Step 5: Solve for x
    x = 298,449,864.66/24,699.28
  6. Step 6: Final answer
    x = 12,083.34

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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.