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Finding the Fourth Proportional to 22,519.53, 31,075.74 and 12,447.37

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Solution

The fourth proportional to 22,519.53, 31,075.74 and 12,447.37 is: 17,176.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,519.53 : 31,075.74 = 12,447.37 : x
  2. Step 2: Convert to fraction form
    22,519.53/31,075.74 = 12,447.37/x
  3. Step 3: Cross multiply
    22,519.53x = 31,075.74 × 12,447.37
  4. Step 4: Simplify right side
    22,519.53x = 386,811,233.80
  5. Step 5: Solve for x
    x = 386,811,233.80/22,519.53
  6. Step 6: Final answer
    x = 17,176.70

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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.