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Finding the Fourth Proportional to 13,364.54, 20,053.73 and 9,697.02

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Solution

The fourth proportional to 13,364.54, 20,053.73 and 9,697.02 is: 14,550.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,364.54 : 20,053.73 = 9,697.02 : x
  2. Step 2: Convert to fraction form
    13,364.54/20,053.73 = 9,697.02/x
  3. Step 3: Cross multiply
    13,364.54x = 20,053.73 × 9,697.02
  4. Step 4: Simplify right side
    13,364.54x = 194,461,315.38
  5. Step 5: Solve for x
    x = 194,461,315.38/13,364.54
  6. Step 6: Final answer
    x = 14,550.54

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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.