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Finding the Fourth Proportional to 29,285.51, 40,413.94 and 15,856.78

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Solution

The fourth proportional to 29,285.51, 40,413.94 and 15,856.78 is: 21,882.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,285.51 : 40,413.94 = 15,856.78 : x
  2. Step 2: Convert to fraction form
    29,285.51/40,413.94 = 15,856.78/x
  3. Step 3: Cross multiply
    29,285.51x = 40,413.94 × 15,856.78
  4. Step 4: Simplify right side
    29,285.51x = 640,834,955.51
  5. Step 5: Solve for x
    x = 640,834,955.51/29,285.51
  6. Step 6: Final answer
    x = 21,882.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.