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Finding the Fourth Proportional to 12,712.86, 19,069.40 and 5,220.54

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Solution

The fourth proportional to 12,712.86, 19,069.40 and 5,220.54 is: 7,830.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,712.86 : 19,069.40 = 5,220.54 : x
  2. Step 2: Convert to fraction form
    12,712.86/19,069.40 = 5,220.54/x
  3. Step 3: Cross multiply
    12,712.86x = 19,069.40 × 5,220.54
  4. Step 4: Simplify right side
    12,712.86x = 99,552,578.53
  5. Step 5: Solve for x
    x = 99,552,578.53/12,712.86
  6. Step 6: Final answer
    x = 7,830.86

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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.