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Finding the Fourth Proportional to 22,549.86, 31,118.22 and 12,477.96

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Solution

The fourth proportional to 22,549.86, 31,118.22 and 12,477.96 is: 17,219.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,549.86 : 31,118.22 = 12,477.96 : x
  2. Step 2: Convert to fraction form
    22,549.86/31,118.22 = 12,477.96/x
  3. Step 3: Cross multiply
    22,549.86x = 31,118.22 × 12,477.96
  4. Step 4: Simplify right side
    22,549.86x = 388,291,904.43
  5. Step 5: Solve for x
    x = 388,291,904.43/22,549.86
  6. Step 6: Final answer
    x = 17,219.26

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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.