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Finding the Fourth Proportional to 19,510.94, 29,314.53 and 12,494.00

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Solution

The fourth proportional to 19,510.94, 29,314.53 and 12,494.00 is: 18,771.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,510.94 : 29,314.53 = 12,494.00 : x
  2. Step 2: Convert to fraction form
    19,510.94/29,314.53 = 12,494.00/x
  3. Step 3: Cross multiply
    19,510.94x = 29,314.53 × 12,494.00
  4. Step 4: Simplify right side
    19,510.94x = 366,255,591.25
  5. Step 5: Solve for x
    x = 366,255,591.25/19,510.94
  6. Step 6: Final answer
    x = 18,771.81

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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.