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Finding the Fourth Proportional to 13,590.72, 20,347.20 and 9,201.60

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Solution

The fourth proportional to 13,590.72, 20,347.20 and 9,201.60 is: 13,776.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,590.72 : 20,347.20 = 9,201.60 : x
  2. Step 2: Convert to fraction form
    13,590.72/20,347.20 = 9,201.60/x
  3. Step 3: Cross multiply
    13,590.72x = 20,347.20 × 9,201.60
  4. Step 4: Simplify right side
    13,590.72x = 187,226,795.52
  5. Step 5: Solve for x
    x = 187,226,795.52/13,590.72
  6. Step 6: Final answer
    x = 13,776.08

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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.