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Finding the Fourth Proportional to 22,956.04, 31,673.82 and 14,567.68

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Solution

The fourth proportional to 22,956.04, 31,673.82 and 14,567.68 is: 20,099.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,956.04 : 31,673.82 = 14,567.68 : x
  2. Step 2: Convert to fraction form
    22,956.04/31,673.82 = 14,567.68/x
  3. Step 3: Cross multiply
    22,956.04x = 31,673.82 × 14,567.68
  4. Step 4: Simplify right side
    22,956.04x = 461,414,074.14
  5. Step 5: Solve for x
    x = 461,414,074.14/22,956.04
  6. Step 6: Final answer
    x = 20,099.90

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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.