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Finding the Fourth Proportional to 20,692.52, 31,014.45 and 9,575.72

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Solution

The fourth proportional to 20,692.52, 31,014.45 and 9,575.72 is: 14,352.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,692.52 : 31,014.45 = 9,575.72 : x
  2. Step 2: Convert to fraction form
    20,692.52/31,014.45 = 9,575.72/x
  3. Step 3: Cross multiply
    20,692.52x = 31,014.45 × 9,575.72
  4. Step 4: Simplify right side
    20,692.52x = 296,985,534.08
  5. Step 5: Solve for x
    x = 296,985,534.08/20,692.52
  6. Step 6: Final answer
    x = 14,352.32

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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.