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Finding the Fourth Proportional to 38,008.66, 57,016.35 and 9,928.50

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Solution

The fourth proportional to 38,008.66, 57,016.35 and 9,928.50 is: 14,893.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,008.66 : 57,016.35 = 9,928.50 : x
  2. Step 2: Convert to fraction form
    38,008.66/57,016.35 = 9,928.50/x
  3. Step 3: Cross multiply
    38,008.66x = 57,016.35 × 9,928.50
  4. Step 4: Simplify right side
    38,008.66x = 566,086,830.98
  5. Step 5: Solve for x
    x = 566,086,830.98/38,008.66
  6. Step 6: Final answer
    x = 14,893.63

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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.