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Finding the Fourth Proportional to 15,692.49, 23,526.86 and 7,798.23

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Solution

The fourth proportional to 15,692.49, 23,526.86 and 7,798.23 is: 11,691.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,692.49 : 23,526.86 = 7,798.23 : x
  2. Step 2: Convert to fraction form
    15,692.49/23,526.86 = 7,798.23/x
  3. Step 3: Cross multiply
    15,692.49x = 23,526.86 × 7,798.23
  4. Step 4: Simplify right side
    15,692.49x = 183,467,826.47
  5. Step 5: Solve for x
    x = 183,467,826.47/15,692.49
  6. Step 6: Final answer
    x = 11,691.44

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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.