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Finding the Fourth Proportional to 19,147.36, 28,725.09 and 9,665.08

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Solution

The fourth proportional to 19,147.36, 28,725.09 and 9,665.08 is: 14,499.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,147.36 : 28,725.09 = 9,665.08 : x
  2. Step 2: Convert to fraction form
    19,147.36/28,725.09 = 9,665.08/x
  3. Step 3: Cross multiply
    19,147.36x = 28,725.09 × 9,665.08
  4. Step 4: Simplify right side
    19,147.36x = 277,630,292.86
  5. Step 5: Solve for x
    x = 277,630,292.86/19,147.36
  6. Step 6: Final answer
    x = 14,499.66

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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.