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Finding the Fourth Proportional to 24,503.90, 36,733.62 and 8,910.50

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Solution

The fourth proportional to 24,503.90, 36,733.62 and 8,910.50 is: 13,357.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,503.90 : 36,733.62 = 8,910.50 : x
  2. Step 2: Convert to fraction form
    24,503.90/36,733.62 = 8,910.50/x
  3. Step 3: Cross multiply
    24,503.90x = 36,733.62 × 8,910.50
  4. Step 4: Simplify right side
    24,503.90x = 327,314,921.01
  5. Step 5: Solve for x
    x = 327,314,921.01/24,503.90
  6. Step 6: Final answer
    x = 13,357.67

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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.