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Finding the Fourth Proportional to 22,823.82, 31,459.23 and 15,267.42

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Solution

The fourth proportional to 22,823.82, 31,459.23 and 15,267.42 is: 21,043.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,823.82 : 31,459.23 = 15,267.42 : x
  2. Step 2: Convert to fraction form
    22,823.82/31,459.23 = 15,267.42/x
  3. Step 3: Cross multiply
    22,823.82x = 31,459.23 × 15,267.42
  4. Step 4: Simplify right side
    22,823.82x = 480,301,277.29
  5. Step 5: Solve for x
    x = 480,301,277.29/22,823.82
  6. Step 6: Final answer
    x = 21,043.86

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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.