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Finding the Fourth Proportional to 14,508.54, 21,762.99 and 4,647.81

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Solution

The fourth proportional to 14,508.54, 21,762.99 and 4,647.81 is: 6,971.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,508.54 : 21,762.99 = 4,647.81 : x
  2. Step 2: Convert to fraction form
    14,508.54/21,762.99 = 4,647.81/x
  3. Step 3: Cross multiply
    14,508.54x = 21,762.99 × 4,647.81
  4. Step 4: Simplify right side
    14,508.54x = 101,150,242.55
  5. Step 5: Solve for x
    x = 101,150,242.55/14,508.54
  6. Step 6: Final answer
    x = 6,971.77

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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.