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Finding the Fourth Proportional to 24,533.40, 36,771.30 and 11,357.94

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Solution

The fourth proportional to 24,533.40, 36,771.30 and 11,357.94 is: 17,023.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,533.40 : 36,771.30 = 11,357.94 : x
  2. Step 2: Convert to fraction form
    24,533.40/36,771.30 = 11,357.94/x
  3. Step 3: Cross multiply
    24,533.40x = 36,771.30 × 11,357.94
  4. Step 4: Simplify right side
    24,533.40x = 417,646,219.12
  5. Step 5: Solve for x
    x = 417,646,219.12/24,533.40
  6. Step 6: Final answer
    x = 17,023.58

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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.