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Finding the Fourth Proportional to 22,811.40, 31,461.66 and 13,858.65

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Solution

The fourth proportional to 22,811.40, 31,461.66 and 13,858.65 is: 19,113.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,811.40 : 31,461.66 = 13,858.65 : x
  2. Step 2: Convert to fraction form
    22,811.40/31,461.66 = 13,858.65/x
  3. Step 3: Cross multiply
    22,811.40x = 31,461.66 × 13,858.65
  4. Step 4: Simplify right side
    22,811.40x = 436,016,134.36
  5. Step 5: Solve for x
    x = 436,016,134.36/22,811.40
  6. Step 6: Final answer
    x = 19,113.96

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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.