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Finding the Fourth Proportional to 14,144.86, 19,533.03 and 9,120.83

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Solution

The fourth proportional to 14,144.86, 19,533.03 and 9,120.83 is: 12,595.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,144.86 : 19,533.03 = 9,120.83 : x
  2. Step 2: Convert to fraction form
    14,144.86/19,533.03 = 9,120.83/x
  3. Step 3: Cross multiply
    14,144.86x = 19,533.03 × 9,120.83
  4. Step 4: Simplify right side
    14,144.86x = 178,157,446.01
  5. Step 5: Solve for x
    x = 178,157,446.01/14,144.86
  6. Step 6: Final answer
    x = 12,595.21

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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.