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Finding the Fourth Proportional to 30,693.33, 42,344.42 and 17,764.06

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Solution

The fourth proportional to 30,693.33, 42,344.42 and 17,764.06 is: 24,507.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,693.33 : 42,344.42 = 17,764.06 : x
  2. Step 2: Convert to fraction form
    30,693.33/42,344.42 = 17,764.06/x
  3. Step 3: Cross multiply
    30,693.33x = 42,344.42 × 17,764.06
  4. Step 4: Simplify right side
    30,693.33x = 752,208,802.18
  5. Step 5: Solve for x
    x = 752,208,802.18/30,693.33
  6. Step 6: Final answer
    x = 24,507.24

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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.