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Finding the Fourth Proportional to 24,023.66, 36,038.94 and 7,385.09

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Solution

The fourth proportional to 24,023.66, 36,038.94 and 7,385.09 is: 11,078.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,023.66 : 36,038.94 = 7,385.09 : x
  2. Step 2: Convert to fraction form
    24,023.66/36,038.94 = 7,385.09/x
  3. Step 3: Cross multiply
    24,023.66x = 36,038.94 × 7,385.09
  4. Step 4: Simplify right side
    24,023.66x = 266,150,905.50
  5. Step 5: Solve for x
    x = 266,150,905.50/24,023.66
  6. Step 6: Final answer
    x = 11,078.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.