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Finding the Fourth Proportional to 22,994.81, 34,484.92 and 9,843.65

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Solution

The fourth proportional to 22,994.81, 34,484.92 and 9,843.65 is: 14,762.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,994.81 : 34,484.92 = 9,843.65 : x
  2. Step 2: Convert to fraction form
    22,994.81/34,484.92 = 9,843.65/x
  3. Step 3: Cross multiply
    22,994.81x = 34,484.92 × 9,843.65
  4. Step 4: Simplify right side
    22,994.81x = 339,457,470.41
  5. Step 5: Solve for x
    x = 339,457,470.41/22,994.81
  6. Step 6: Final answer
    x = 14,762.35

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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.