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Finding the Fourth Proportional to 24,214.06, 36,325.22 and 7,570.84

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Solution

The fourth proportional to 24,214.06, 36,325.22 and 7,570.84 is: 11,357.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,214.06 : 36,325.22 = 7,570.84 : x
  2. Step 2: Convert to fraction form
    24,214.06/36,325.22 = 7,570.84/x
  3. Step 3: Cross multiply
    24,214.06x = 36,325.22 × 7,570.84
  4. Step 4: Simplify right side
    24,214.06x = 275,012,428.58
  5. Step 5: Solve for x
    x = 275,012,428.58/24,214.06
  6. Step 6: Final answer
    x = 11,357.55

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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.