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Finding the Fourth Proportional to 15,933.98, 23,871 and 9,340.58

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Solution

The fourth proportional to 15,933.98, 23,871 and 9,340.58 is: 13,993.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,933.98 : 23,871 = 9,340.58 : x
  2. Step 2: Convert to fraction form
    15,933.98/23,871 = 9,340.58/x
  3. Step 3: Cross multiply
    15,933.98x = 23,871 × 9,340.58
  4. Step 4: Simplify right side
    15,933.98x = 222,968,985.18
  5. Step 5: Solve for x
    x = 222,968,985.18/15,933.98
  6. Step 6: Final answer
    x = 13,993.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.