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Finding the Fourth Proportional to 19,062.50, 28,593.75 and 5,211.50

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Solution

The fourth proportional to 19,062.50, 28,593.75 and 5,211.50 is: 7,817.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,062.50 : 28,593.75 = 5,211.50 : x
  2. Step 2: Convert to fraction form
    19,062.50/28,593.75 = 5,211.50/x
  3. Step 3: Cross multiply
    19,062.50x = 28,593.75 × 5,211.50
  4. Step 4: Simplify right side
    19,062.50x = 149,016,328.13
  5. Step 5: Solve for x
    x = 149,016,328.13/19,062.50
  6. Step 6: Final answer
    x = 7,817.25

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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.