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Finding the Fourth Proportional to 22,709.86, 31,307.13 and 15,974.58

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Solution

The fourth proportional to 22,709.86, 31,307.13 and 15,974.58 is: 22,022.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,709.86 : 31,307.13 = 15,974.58 : x
  2. Step 2: Convert to fraction form
    22,709.86/31,307.13 = 15,974.58/x
  3. Step 3: Cross multiply
    22,709.86x = 31,307.13 × 15,974.58
  4. Step 4: Simplify right side
    22,709.86x = 500,118,251.55
  5. Step 5: Solve for x
    x = 500,118,251.55/22,709.86
  6. Step 6: Final answer
    x = 22,022.08

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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.