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Finding the Fourth Proportional to 19,032.96, 26,266.19 and 10,419.74

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Solution

The fourth proportional to 19,032.96, 26,266.19 and 10,419.74 is: 14,379.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,032.96 : 26,266.19 = 10,419.74 : x
  2. Step 2: Convert to fraction form
    19,032.96/26,266.19 = 10,419.74/x
  3. Step 3: Cross multiply
    19,032.96x = 26,266.19 × 10,419.74
  4. Step 4: Simplify right side
    19,032.96x = 273,686,933.41
  5. Step 5: Solve for x
    x = 273,686,933.41/19,032.96
  6. Step 6: Final answer
    x = 14,379.63

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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.