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Finding the Fourth Proportional to 13,778.73, 19,014.66 and 7,491.10

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Solution

The fourth proportional to 13,778.73, 19,014.66 and 7,491.10 is: 10,337.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,778.73 : 19,014.66 = 7,491.10 : x
  2. Step 2: Convert to fraction form
    13,778.73/19,014.66 = 7,491.10/x
  3. Step 3: Cross multiply
    13,778.73x = 19,014.66 × 7,491.10
  4. Step 4: Simplify right side
    13,778.73x = 142,440,719.53
  5. Step 5: Solve for x
    x = 142,440,719.53/13,778.73
  6. Step 6: Final answer
    x = 10,337.72

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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.