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Finding the Fourth Proportional to 22,860.63, 34,293.65 and 9,705.69

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Solution

The fourth proportional to 22,860.63, 34,293.65 and 9,705.69 is: 14,559.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,860.63 : 34,293.65 = 9,705.69 : x
  2. Step 2: Convert to fraction form
    22,860.63/34,293.65 = 9,705.69/x
  3. Step 3: Cross multiply
    22,860.63x = 34,293.65 × 9,705.69
  4. Step 4: Simplify right side
    22,860.63x = 332,843,487.34
  5. Step 5: Solve for x
    x = 332,843,487.34/22,860.63
  6. Step 6: Final answer
    x = 14,559.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.