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Finding the Fourth Proportional to 30,642.51, 42,290.61 and 17,213.76

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Solution

The fourth proportional to 30,642.51, 42,290.61 and 17,213.76 is: 23,757.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,642.51 : 42,290.61 = 17,213.76 : x
  2. Step 2: Convert to fraction form
    30,642.51/42,290.61 = 17,213.76/x
  3. Step 3: Cross multiply
    30,642.51x = 42,290.61 × 17,213.76
  4. Step 4: Simplify right side
    30,642.51x = 727,980,410.79
  5. Step 5: Solve for x
    x = 727,980,410.79/30,642.51
  6. Step 6: Final answer
    x = 23,757.21

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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.