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Finding the Fourth Proportional to 12,830.21, 19,229.59 and 7,288.22

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Solution

The fourth proportional to 12,830.21, 19,229.59 and 7,288.22 is: 10,923.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830.21 : 19,229.59 = 7,288.22 : x
  2. Step 2: Convert to fraction form
    12,830.21/19,229.59 = 7,288.22/x
  3. Step 3: Cross multiply
    12,830.21x = 19,229.59 × 7,288.22
  4. Step 4: Simplify right side
    12,830.21x = 140,149,482.43
  5. Step 5: Solve for x
    x = 140,149,482.43/12,830.21
  6. Step 6: Final answer
    x = 10,923.40

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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.