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Finding the Fourth Proportional to 13,778.72, 19,014.66 and 7,491.08

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Solution

The fourth proportional to 13,778.72, 19,014.66 and 7,491.08 is: 10,337.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,778.72 : 19,014.66 = 7,491.08 : x
  2. Step 2: Convert to fraction form
    13,778.72/19,014.66 = 7,491.08/x
  3. Step 3: Cross multiply
    13,778.72x = 19,014.66 × 7,491.08
  4. Step 4: Simplify right side
    13,778.72x = 142,440,339.23
  5. Step 5: Solve for x
    x = 142,440,339.23/13,778.72
  6. Step 6: Final answer
    x = 10,337.70

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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.