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Finding the Fourth Proportional to 10,594.50, 14,568.57 and 9,194.82

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Solution

The fourth proportional to 10,594.50, 14,568.57 and 9,194.82 is: 12,643.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.50 : 14,568.57 = 9,194.82 : x
  2. Step 2: Convert to fraction form
    10,594.50/14,568.57 = 9,194.82/x
  3. Step 3: Cross multiply
    10,594.50x = 14,568.57 × 9,194.82
  4. Step 4: Simplify right side
    10,594.50x = 133,955,378.81
  5. Step 5: Solve for x
    x = 133,955,378.81/10,594.50
  6. Step 6: Final answer
    x = 12,643.86

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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.