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Finding the Fourth Proportional to 23,529.78, 32,470.97 and 12,774.87

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Solution

The fourth proportional to 23,529.78, 32,470.97 and 12,774.87 is: 17,629.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,529.78 : 32,470.97 = 12,774.87 : x
  2. Step 2: Convert to fraction form
    23,529.78/32,470.97 = 12,774.87/x
  3. Step 3: Cross multiply
    23,529.78x = 32,470.97 × 12,774.87
  4. Step 4: Simplify right side
    23,529.78x = 414,812,356.65
  5. Step 5: Solve for x
    x = 414,812,356.65/23,529.78
  6. Step 6: Final answer
    x = 17,629.25

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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.