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Finding the Fourth Proportional to 30,441.96, 42,009.78 and 17,013.21

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Solution

The fourth proportional to 30,441.96, 42,009.78 and 17,013.21 is: 23,478.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,441.96 : 42,009.78 = 17,013.21 : x
  2. Step 2: Convert to fraction form
    30,441.96/42,009.78 = 17,013.21/x
  3. Step 3: Cross multiply
    30,441.96x = 42,009.78 × 17,013.21
  4. Step 4: Simplify right side
    30,441.96x = 714,721,209.19
  5. Step 5: Solve for x
    x = 714,721,209.19/30,441.96
  6. Step 6: Final answer
    x = 23,478.16

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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.