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Finding the Fourth Proportional to 22,478.23, 31,019.34 and 12,405.93

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Solution

The fourth proportional to 22,478.23, 31,019.34 and 12,405.93 is: 17,119.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,478.23 : 31,019.34 = 12,405.93 : x
  2. Step 2: Convert to fraction form
    22,478.23/31,019.34 = 12,405.93/x
  3. Step 3: Cross multiply
    22,478.23x = 31,019.34 × 12,405.93
  4. Step 4: Simplify right side
    22,478.23x = 384,823,935.17
  5. Step 5: Solve for x
    x = 384,823,935.17/22,478.23
  6. Step 6: Final answer
    x = 17,119.85

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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.