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Finding the Fourth Proportional to 12,830.53, 19,247.81 and 5,435.03

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Solution

The fourth proportional to 12,830.53, 19,247.81 and 5,435.03 is: 8,153.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830.53 : 19,247.81 = 5,435.03 : x
  2. Step 2: Convert to fraction form
    12,830.53/19,247.81 = 5,435.03/x
  3. Step 3: Cross multiply
    12,830.53x = 19,247.81 × 5,435.03
  4. Step 4: Simplify right side
    12,830.53x = 104,612,424.78
  5. Step 5: Solve for x
    x = 104,612,424.78/12,830.53
  6. Step 6: Final answer
    x = 8,153.40

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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.