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Finding the Fourth Proportional to 22,477.35, 31,017.44 and 12,405.79

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Solution

The fourth proportional to 22,477.35, 31,017.44 and 12,405.79 is: 17,119.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,477.35 : 31,017.44 = 12,405.79 : x
  2. Step 2: Convert to fraction form
    22,477.35/31,017.44 = 12,405.79/x
  3. Step 3: Cross multiply
    22,477.35x = 31,017.44 × 12,405.79
  4. Step 4: Simplify right side
    22,477.35x = 384,795,784.95
  5. Step 5: Solve for x
    x = 384,795,784.95/22,477.35
  6. Step 6: Final answer
    x = 17,119.27

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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.