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Finding the Fourth Proportional to 13,201.46, 19,802.19 and 5,415.74

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Solution

The fourth proportional to 13,201.46, 19,802.19 and 5,415.74 is: 8,123.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,201.46 : 19,802.19 = 5,415.74 : x
  2. Step 2: Convert to fraction form
    13,201.46/19,802.19 = 5,415.74/x
  3. Step 3: Cross multiply
    13,201.46x = 19,802.19 × 5,415.74
  4. Step 4: Simplify right side
    13,201.46x = 107,243,413.46
  5. Step 5: Solve for x
    x = 107,243,413.46/13,201.46
  6. Step 6: Final answer
    x = 8,123.61

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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.