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Finding the Fourth Proportional to 19,144.32, 28,716.47 and 7,465.74

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Solution

The fourth proportional to 19,144.32, 28,716.47 and 7,465.74 is: 11,198.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,144.32 : 28,716.47 = 7,465.74 : x
  2. Step 2: Convert to fraction form
    19,144.32/28,716.47 = 7,465.74/x
  3. Step 3: Cross multiply
    19,144.32x = 28,716.47 × 7,465.74
  4. Step 4: Simplify right side
    19,144.32x = 214,389,661.41
  5. Step 5: Solve for x
    x = 214,389,661.41/19,144.32
  6. Step 6: Final answer
    x = 11,198.60

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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.