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Finding the Fourth Proportional to 30,269.95, 45,404.47 and 13,618.22

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Solution

The fourth proportional to 30,269.95, 45,404.47 and 13,618.22 is: 20,427.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,269.95 : 45,404.47 = 13,618.22 : x
  2. Step 2: Convert to fraction form
    30,269.95/45,404.47 = 13,618.22/x
  3. Step 3: Cross multiply
    30,269.95x = 45,404.47 × 13,618.22
  4. Step 4: Simplify right side
    30,269.95x = 618,328,067.13
  5. Step 5: Solve for x
    x = 618,328,067.13/30,269.95
  6. Step 6: Final answer
    x = 20,427.13

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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.