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Finding the Fourth Proportional to 30,565.83, 45,839.16 and 11,844.57

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Solution

The fourth proportional to 30,565.83, 45,839.16 and 11,844.57 is: 17,763.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,565.83 : 45,839.16 = 11,844.57 : x
  2. Step 2: Convert to fraction form
    30,565.83/45,839.16 = 11,844.57/x
  3. Step 3: Cross multiply
    30,565.83x = 45,839.16 × 11,844.57
  4. Step 4: Simplify right side
    30,565.83x = 542,945,139.36
  5. Step 5: Solve for x
    x = 542,945,139.36/30,565.83
  6. Step 6: Final answer
    x = 17,763.14

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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.