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Finding the Fourth Proportional to 30,802.88, 42,507.91 and 17,374.09

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Solution

The fourth proportional to 30,802.88, 42,507.91 and 17,374.09 is: 23,976.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,802.88 : 42,507.91 = 17,374.09 : x
  2. Step 2: Convert to fraction form
    30,802.88/42,507.91 = 17,374.09/x
  3. Step 3: Cross multiply
    30,802.88x = 42,507.91 × 17,374.09
  4. Step 4: Simplify right side
    30,802.88x = 738,536,254.05
  5. Step 5: Solve for x
    x = 738,536,254.05/30,802.88
  6. Step 6: Final answer
    x = 23,976.21

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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.