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Finding the Fourth Proportional to 12,049.47, 18,041.58 and 8,524.98

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Solution

The fourth proportional to 12,049.47, 18,041.58 and 8,524.98 is: 12,764.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,049.47 : 18,041.58 = 8,524.98 : x
  2. Step 2: Convert to fraction form
    12,049.47/18,041.58 = 8,524.98/x
  3. Step 3: Cross multiply
    12,049.47x = 18,041.58 × 8,524.98
  4. Step 4: Simplify right side
    12,049.47x = 153,804,108.67
  5. Step 5: Solve for x
    x = 153,804,108.67/12,049.47
  6. Step 6: Final answer
    x = 12,764.39

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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.