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Finding the Fourth Proportional to 23,774.10, 35,655.99 and 7,129.67

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Solution

The fourth proportional to 23,774.10, 35,655.99 and 7,129.67 is: 10,692.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,774.10 : 35,655.99 = 7,129.67 : x
  2. Step 2: Convert to fraction form
    23,774.10/35,655.99 = 7,129.67/x
  3. Step 3: Cross multiply
    23,774.10x = 35,655.99 × 7,129.67
  4. Step 4: Simplify right side
    23,774.10x = 254,215,263.94
  5. Step 5: Solve for x
    x = 254,215,263.94/23,774.10
  6. Step 6: Final answer
    x = 10,692.95

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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.