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Finding the Fourth Proportional to 24,003, 36,004.50 and 7,587

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Solution

The fourth proportional to 24,003, 36,004.50 and 7,587 is: 11,380.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,003 : 36,004.50 = 7,587 : x
  2. Step 2: Convert to fraction form
    24,003/36,004.50 = 7,587/x
  3. Step 3: Cross multiply
    24,003x = 36,004.50 × 7,587
  4. Step 4: Simplify right side
    24,003x = 273,166,141.50
  5. Step 5: Solve for x
    x = 273,166,141.50/24,003
  6. Step 6: Final answer
    x = 11,380.50

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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.