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Finding the Fourth Proportional to 14,745.01, 22,065.54 and 9,200.96

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Solution

The fourth proportional to 14,745.01, 22,065.54 and 9,200.96 is: 13,769.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,745.01 : 22,065.54 = 9,200.96 : x
  2. Step 2: Convert to fraction form
    14,745.01/22,065.54 = 9,200.96/x
  3. Step 3: Cross multiply
    14,745.01x = 22,065.54 × 9,200.96
  4. Step 4: Simplify right side
    14,745.01x = 203,024,150.92
  5. Step 5: Solve for x
    x = 203,024,150.92/14,745.01
  6. Step 6: Final answer
    x = 13,769.01

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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.