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Finding the Fourth Proportional to 13,003.14, 19,508.49 and 4,683

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Solution

The fourth proportional to 13,003.14, 19,508.49 and 4,683 is: 7,025.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,003.14 : 19,508.49 = 4,683 : x
  2. Step 2: Convert to fraction form
    13,003.14/19,508.49 = 4,683/x
  3. Step 3: Cross multiply
    13,003.14x = 19,508.49 × 4,683
  4. Step 4: Simplify right side
    13,003.14x = 91,358,258.67
  5. Step 5: Solve for x
    x = 91,358,258.67/13,003.14
  6. Step 6: Final answer
    x = 7,025.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.