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Finding the Fourth Proportional to 13,074.35, 19,605.36 and 4,748.49

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Solution

The fourth proportional to 13,074.35, 19,605.36 and 4,748.49 is: 7,120.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,074.35 : 19,605.36 = 4,748.49 : x
  2. Step 2: Convert to fraction form
    13,074.35/19,605.36 = 4,748.49/x
  3. Step 3: Cross multiply
    13,074.35x = 19,605.36 × 4,748.49
  4. Step 4: Simplify right side
    13,074.35x = 93,095,847.00
  5. Step 5: Solve for x
    x = 93,095,847.00/13,074.35
  6. Step 6: Final answer
    x = 7,120.50

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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.