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Finding the Fourth Proportional to 12,901.75, 19,354.35 and 5,108.74

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Solution

The fourth proportional to 12,901.75, 19,354.35 and 5,108.74 is: 7,663.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,901.75 : 19,354.35 = 5,108.74 : x
  2. Step 2: Convert to fraction form
    12,901.75/19,354.35 = 5,108.74/x
  3. Step 3: Cross multiply
    12,901.75x = 19,354.35 × 5,108.74
  4. Step 4: Simplify right side
    12,901.75x = 98,876,342.02
  5. Step 5: Solve for x
    x = 98,876,342.02/12,901.75
  6. Step 6: Final answer
    x = 7,663.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.