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Finding the Fourth Proportional to 12,419.81, 18,642.98 and 5,029.10

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Solution

The fourth proportional to 12,419.81, 18,642.98 and 5,029.10 is: 7,549.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,419.81 : 18,642.98 = 5,029.10 : x
  2. Step 2: Convert to fraction form
    12,419.81/18,642.98 = 5,029.10/x
  3. Step 3: Cross multiply
    12,419.81x = 18,642.98 × 5,029.10
  4. Step 4: Simplify right side
    12,419.81x = 93,757,410.72
  5. Step 5: Solve for x
    x = 93,757,410.72/12,419.81
  6. Step 6: Final answer
    x = 7,549.02

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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.