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Finding the Fourth Proportional to 22,477.77, 31,019.27 and 12,406.23

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Solution

The fourth proportional to 22,477.77, 31,019.27 and 12,406.23 is: 17,120.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,477.77 : 31,019.27 = 12,406.23 : x
  2. Step 2: Convert to fraction form
    22,477.77/31,019.27 = 12,406.23/x
  3. Step 3: Cross multiply
    22,477.77x = 31,019.27 × 12,406.23
  4. Step 4: Simplify right side
    22,477.77x = 384,832,136.02
  5. Step 5: Solve for x
    x = 384,832,136.02/22,477.77
  6. Step 6: Final answer
    x = 17,120.57

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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.