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Finding the Fourth Proportional to 22,477.70, 31,019.22 and 12,406.14

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Solution

The fourth proportional to 22,477.70, 31,019.22 and 12,406.14 is: 17,120.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,477.70 : 31,019.22 = 12,406.14 : x
  2. Step 2: Convert to fraction form
    22,477.70/31,019.22 = 12,406.14/x
  3. Step 3: Cross multiply
    22,477.70x = 31,019.22 × 12,406.14
  4. Step 4: Simplify right side
    22,477.70x = 384,828,786.01
  5. Step 5: Solve for x
    x = 384,828,786.01/22,477.70
  6. Step 6: Final answer
    x = 17,120.47

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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.