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Finding the Fourth Proportional to 19,033.67, 26,266.05 and 10,419.83

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Solution

The fourth proportional to 19,033.67, 26,266.05 and 10,419.83 is: 14,379.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,033.67 : 26,266.05 = 10,419.83 : x
  2. Step 2: Convert to fraction form
    19,033.67/26,266.05 = 10,419.83/x
  3. Step 3: Cross multiply
    19,033.67x = 26,266.05 × 10,419.83
  4. Step 4: Simplify right side
    19,033.67x = 273,687,787.51
  5. Step 5: Solve for x
    x = 273,687,787.51/19,033.67
  6. Step 6: Final answer
    x = 14,379.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.