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Finding the Fourth Proportional to 30,692.30, 42,364.64 and 19,213.28

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Solution

The fourth proportional to 30,692.30, 42,364.64 and 19,213.28 is: 26,520.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,692.30 : 42,364.64 = 19,213.28 : x
  2. Step 2: Convert to fraction form
    30,692.30/42,364.64 = 19,213.28/x
  3. Step 3: Cross multiply
    30,692.30x = 42,364.64 × 19,213.28
  4. Step 4: Simplify right side
    30,692.30x = 813,963,690.42
  5. Step 5: Solve for x
    x = 813,963,690.42/30,692.30
  6. Step 6: Final answer
    x = 26,520.13

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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.