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Finding the Fourth Proportional to 22,549.44, 31,117.92 and 12,477.84

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Solution

The fourth proportional to 22,549.44, 31,117.92 and 12,477.84 is: 17,219.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,549.44 : 31,117.92 = 12,477.84 : x
  2. Step 2: Convert to fraction form
    22,549.44/31,117.92 = 12,477.84/x
  3. Step 3: Cross multiply
    22,549.44x = 31,117.92 × 12,477.84
  4. Step 4: Simplify right side
    22,549.44x = 388,284,426.89
  5. Step 5: Solve for x
    x = 388,284,426.89/22,549.44
  6. Step 6: Final answer
    x = 17,219.25

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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.