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Finding the Fourth Proportional to 19,774.65, 27,289.03 and 10,822.15

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Solution

The fourth proportional to 19,774.65, 27,289.03 and 10,822.15 is: 14,934.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,774.65 : 27,289.03 = 10,822.15 : x
  2. Step 2: Convert to fraction form
    19,774.65/27,289.03 = 10,822.15/x
  3. Step 3: Cross multiply
    19,774.65x = 27,289.03 × 10,822.15
  4. Step 4: Simplify right side
    19,774.65x = 295,325,880.74
  5. Step 5: Solve for x
    x = 295,325,880.74/19,774.65
  6. Step 6: Final answer
    x = 14,934.57

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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.