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Finding the Fourth Proportional to 30,574.57, 42,188.85 and 16,962.44

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Solution

The fourth proportional to 30,574.57, 42,188.85 and 16,962.44 is: 23,405.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,574.57 : 42,188.85 = 16,962.44 : x
  2. Step 2: Convert to fraction form
    30,574.57/42,188.85 = 16,962.44/x
  3. Step 3: Cross multiply
    30,574.57x = 42,188.85 × 16,962.44
  4. Step 4: Simplify right side
    30,574.57x = 715,625,744.51
  5. Step 5: Solve for x
    x = 715,625,744.51/30,574.57
  6. Step 6: Final answer
    x = 23,405.91

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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.