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Finding the Fourth Proportional to 13,116.78, 19,670.94 and 5,216.67

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Solution

The fourth proportional to 13,116.78, 19,670.94 and 5,216.67 is: 7,823.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,116.78 : 19,670.94 = 5,216.67 : x
  2. Step 2: Convert to fraction form
    13,116.78/19,670.94 = 5,216.67/x
  3. Step 3: Cross multiply
    13,116.78x = 19,670.94 × 5,216.67
  4. Step 4: Simplify right side
    13,116.78x = 102,616,802.57
  5. Step 5: Solve for x
    x = 102,616,802.57/13,116.78
  6. Step 6: Final answer
    x = 7,823.32

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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.