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Finding the Fourth Proportional to 14,677.81, 22,015.53 and 4,147.41

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Solution

The fourth proportional to 14,677.81, 22,015.53 and 4,147.41 is: 6,220.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,677.81 : 22,015.53 = 4,147.41 : x
  2. Step 2: Convert to fraction form
    14,677.81/22,015.53 = 4,147.41/x
  3. Step 3: Cross multiply
    14,677.81x = 22,015.53 × 4,147.41
  4. Step 4: Simplify right side
    14,677.81x = 91,307,346.72
  5. Step 5: Solve for x
    x = 91,307,346.72/14,677.81
  6. Step 6: Final answer
    x = 6,220.77

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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.