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Finding the Fourth Proportional to 13,778.63, 19,014.44 and 7,491

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Solution

The fourth proportional to 13,778.63, 19,014.44 and 7,491 is: 10,337.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,778.63 : 19,014.44 = 7,491 : x
  2. Step 2: Convert to fraction form
    13,778.63/19,014.44 = 7,491/x
  3. Step 3: Cross multiply
    13,778.63x = 19,014.44 × 7,491
  4. Step 4: Simplify right side
    13,778.63x = 142,437,170.04
  5. Step 5: Solve for x
    x = 142,437,170.04/13,778.63
  6. Step 6: Final answer
    x = 10,337.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.