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Finding the Fourth Proportional to 22,811.19, 31,477.19 and 12,739.41

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Solution

The fourth proportional to 22,811.19, 31,477.19 and 12,739.41 is: 17,579.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,811.19 : 31,477.19 = 12,739.41 : x
  2. Step 2: Convert to fraction form
    22,811.19/31,477.19 = 12,739.41/x
  3. Step 3: Cross multiply
    22,811.19x = 31,477.19 × 12,739.41
  4. Step 4: Simplify right side
    22,811.19x = 401,000,647.32
  5. Step 5: Solve for x
    x = 401,000,647.32/22,811.19
  6. Step 6: Final answer
    x = 17,579.12

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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.