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Finding the Fourth Proportional to 19,875.70, 29,814.57 and 5,084.75

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Solution

The fourth proportional to 19,875.70, 29,814.57 and 5,084.75 is: 7,627.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,875.70 : 29,814.57 = 5,084.75 : x
  2. Step 2: Convert to fraction form
    19,875.70/29,814.57 = 5,084.75/x
  3. Step 3: Cross multiply
    19,875.70x = 29,814.57 × 5,084.75
  4. Step 4: Simplify right side
    19,875.70x = 151,599,485.73
  5. Step 5: Solve for x
    x = 151,599,485.73/19,875.70
  6. Step 6: Final answer
    x = 7,627.38

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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.