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Finding the Fourth Proportional to 30,764.34, 42,454.82 and 16,617.20

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Solution

The fourth proportional to 30,764.34, 42,454.82 and 16,617.20 is: 22,931.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,764.34 : 42,454.82 = 16,617.20 : x
  2. Step 2: Convert to fraction form
    30,764.34/42,454.82 = 16,617.20/x
  3. Step 3: Cross multiply
    30,764.34x = 42,454.82 × 16,617.20
  4. Step 4: Simplify right side
    30,764.34x = 705,480,234.90
  5. Step 5: Solve for x
    x = 705,480,234.90/30,764.34
  6. Step 6: Final answer
    x = 22,931.75

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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.