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Finding the Fourth Proportional to 12,735.90, 19,108.17 and 4,945.50

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Solution

The fourth proportional to 12,735.90, 19,108.17 and 4,945.50 is: 7,419.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,735.90 : 19,108.17 = 4,945.50 : x
  2. Step 2: Convert to fraction form
    12,735.90/19,108.17 = 4,945.50/x
  3. Step 3: Cross multiply
    12,735.90x = 19,108.17 × 4,945.50
  4. Step 4: Simplify right side
    12,735.90x = 94,499,454.74
  5. Step 5: Solve for x
    x = 94,499,454.74/12,735.90
  6. Step 6: Final answer
    x = 7,419.93

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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.