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Finding the Fourth Proportional to 30,851.76, 42,573.00 and 17,424.35

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Solution

The fourth proportional to 30,851.76, 42,573.00 and 17,424.35 is: 24,044.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,851.76 : 42,573.00 = 17,424.35 : x
  2. Step 2: Convert to fraction form
    30,851.76/42,573.00 = 17,424.35/x
  3. Step 3: Cross multiply
    30,851.76x = 42,573.00 × 17,424.35
  4. Step 4: Simplify right side
    30,851.76x = 741,806,705.03
  5. Step 5: Solve for x
    x = 741,806,705.03/30,851.76
  6. Step 6: Final answer
    x = 24,044.23

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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.