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Finding the Fourth Proportional to 30,441.96, 42,009.78 and 17,013.22

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Solution

The fourth proportional to 30,441.96, 42,009.78 and 17,013.22 is: 23,478.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,441.96 : 42,009.78 = 17,013.22 : x
  2. Step 2: Convert to fraction form
    30,441.96/42,009.78 = 17,013.22/x
  3. Step 3: Cross multiply
    30,441.96x = 42,009.78 × 17,013.22
  4. Step 4: Simplify right side
    30,441.96x = 714,721,629.29
  5. Step 5: Solve for x
    x = 714,721,629.29/30,441.96
  6. Step 6: Final answer
    x = 23,478.17

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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.