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Finding the Fourth Proportional to 14,100.56, 19,456.20 and 8,509.52

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Solution

The fourth proportional to 14,100.56, 19,456.20 and 8,509.52 is: 11,741.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,100.56 : 19,456.20 = 8,509.52 : x
  2. Step 2: Convert to fraction form
    14,100.56/19,456.20 = 8,509.52/x
  3. Step 3: Cross multiply
    14,100.56x = 19,456.20 × 8,509.52
  4. Step 4: Simplify right side
    14,100.56x = 165,562,923.02
  5. Step 5: Solve for x
    x = 165,562,923.02/14,100.56
  6. Step 6: Final answer
    x = 11,741.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.