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Finding the Fourth Proportional to 13,413.11, 20,123.15 and 5,093.17

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Solution

The fourth proportional to 13,413.11, 20,123.15 and 5,093.17 is: 7,641.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,413.11 : 20,123.15 = 5,093.17 : x
  2. Step 2: Convert to fraction form
    13,413.11/20,123.15 = 5,093.17/x
  3. Step 3: Cross multiply
    13,413.11x = 20,123.15 × 5,093.17
  4. Step 4: Simplify right side
    13,413.11x = 102,490,548.11
  5. Step 5: Solve for x
    x = 102,490,548.11/13,413.11
  6. Step 6: Final answer
    x = 7,641.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.