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Finding the Fourth Proportional to 24,332.50, 36,501.09 and 11,188.54

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Solution

The fourth proportional to 24,332.50, 36,501.09 and 11,188.54 is: 16,783.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,332.50 : 36,501.09 = 11,188.54 : x
  2. Step 2: Convert to fraction form
    24,332.50/36,501.09 = 11,188.54/x
  3. Step 3: Cross multiply
    24,332.50x = 36,501.09 × 11,188.54
  4. Step 4: Simplify right side
    24,332.50x = 408,393,905.51
  5. Step 5: Solve for x
    x = 408,393,905.51/24,332.50
  6. Step 6: Final answer
    x = 16,783.89

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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.