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Finding the Fourth Proportional to 22,478.08, 31,019.25 and 12,405.92

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Solution

The fourth proportional to 22,478.08, 31,019.25 and 12,405.92 is: 17,119.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,478.08 : 31,019.25 = 12,405.92 : x
  2. Step 2: Convert to fraction form
    22,478.08/31,019.25 = 12,405.92/x
  3. Step 3: Cross multiply
    22,478.08x = 31,019.25 × 12,405.92
  4. Step 4: Simplify right side
    22,478.08x = 384,822,443.49
  5. Step 5: Solve for x
    x = 384,822,443.49/22,478.08
  6. Step 6: Final answer
    x = 17,119.90

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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.