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Finding the Fourth Proportional to 30,441.81, 42,009.57 and 17,013.05

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Solution

The fourth proportional to 30,441.81, 42,009.57 and 17,013.05 is: 23,477.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,441.81 : 42,009.57 = 17,013.05 : x
  2. Step 2: Convert to fraction form
    30,441.81/42,009.57 = 17,013.05/x
  3. Step 3: Cross multiply
    30,441.81x = 42,009.57 × 17,013.05
  4. Step 4: Simplify right side
    30,441.81x = 714,711,098.68
  5. Step 5: Solve for x
    x = 714,711,098.68/30,441.81
  6. Step 6: Final answer
    x = 23,477.95

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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.