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Finding the Fourth Proportional to 13,778.88, 19,014.84 and 7,491.30

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Solution

The fourth proportional to 13,778.88, 19,014.84 and 7,491.30 is: 10,337.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,778.88 : 19,014.84 = 7,491.30 : x
  2. Step 2: Convert to fraction form
    13,778.88/19,014.84 = 7,491.30/x
  3. Step 3: Cross multiply
    13,778.88x = 19,014.84 × 7,491.30
  4. Step 4: Simplify right side
    13,778.88x = 142,445,870.89
  5. Step 5: Solve for x
    x = 142,445,870.89/13,778.88
  6. Step 6: Final answer
    x = 10,337.99

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