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Finding the Fourth Proportional to 30,009.84, 41,413.89 and 16,580.76

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Solution

The fourth proportional to 30,009.84, 41,413.89 and 16,580.76 is: 22,881.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,009.84 : 41,413.89 = 16,580.76 : x
  2. Step 2: Convert to fraction form
    30,009.84/41,413.89 = 16,580.76/x
  3. Step 3: Cross multiply
    30,009.84x = 41,413.89 × 16,580.76
  4. Step 4: Simplify right side
    30,009.84x = 686,673,563.69
  5. Step 5: Solve for x
    x = 686,673,563.69/30,009.84
  6. Step 6: Final answer
    x = 22,881.62

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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.