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Finding the Fourth Proportional to 13,051.86, 19,571.40 and 9,105

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Solution

The fourth proportional to 13,051.86, 19,571.40 and 9,105 is: 13,653.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,051.86 : 19,571.40 = 9,105 : x
  2. Step 2: Convert to fraction form
    13,051.86/19,571.40 = 9,105/x
  3. Step 3: Cross multiply
    13,051.86x = 19,571.40 × 9,105
  4. Step 4: Simplify right side
    13,051.86x = 178,197,597
  5. Step 5: Solve for x
    x = 178,197,597/13,051.86
  6. Step 6: Final answer
    x = 13,653.04

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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.