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Finding the Fourth Proportional to 15,102.23, 22,643.01 and 7,692.35

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Solution

The fourth proportional to 15,102.23, 22,643.01 and 7,692.35 is: 11,533.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,102.23 : 22,643.01 = 7,692.35 : x
  2. Step 2: Convert to fraction form
    15,102.23/22,643.01 = 7,692.35/x
  3. Step 3: Cross multiply
    15,102.23x = 22,643.01 × 7,692.35
  4. Step 4: Simplify right side
    15,102.23x = 174,177,957.97
  5. Step 5: Solve for x
    x = 174,177,957.97/15,102.23
  6. Step 6: Final answer
    x = 11,533.26

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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.