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Finding the Fourth Proportional to 30,565.84, 45,839.16 and 11,844.58

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Solution

The fourth proportional to 30,565.84, 45,839.16 and 11,844.58 is: 17,763.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,565.84 : 45,839.16 = 11,844.58 : x
  2. Step 2: Convert to fraction form
    30,565.84/45,839.16 = 11,844.58/x
  3. Step 3: Cross multiply
    30,565.84x = 45,839.16 × 11,844.58
  4. Step 4: Simplify right side
    30,565.84x = 542,945,597.75
  5. Step 5: Solve for x
    x = 542,945,597.75/30,565.84
  6. Step 6: Final answer
    x = 17,763.15

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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.