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Finding the Fourth Proportional to 14,977.32, 22,472.52 and 5,749.80

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Solution

The fourth proportional to 14,977.32, 22,472.52 and 5,749.80 is: 8,627.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,977.32 : 22,472.52 = 5,749.80 : x
  2. Step 2: Convert to fraction form
    14,977.32/22,472.52 = 5,749.80/x
  3. Step 3: Cross multiply
    14,977.32x = 22,472.52 × 5,749.80
  4. Step 4: Simplify right side
    14,977.32x = 129,212,495.50
  5. Step 5: Solve for x
    x = 129,212,495.50/14,977.32
  6. Step 6: Final answer
    x = 8,627.21

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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.