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Finding the Fourth Proportional to 30,692.84, 42,355.70 and 17,264.09

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Solution

The fourth proportional to 30,692.84, 42,355.70 and 17,264.09 is: 23,824.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,692.84 : 42,355.70 = 17,264.09 : x
  2. Step 2: Convert to fraction form
    30,692.84/42,355.70 = 17,264.09/x
  3. Step 3: Cross multiply
    30,692.84x = 42,355.70 × 17,264.09
  4. Step 4: Simplify right side
    30,692.84x = 731,232,616.81
  5. Step 5: Solve for x
    x = 731,232,616.81/30,692.84
  6. Step 6: Final answer
    x = 23,824.21

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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.