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Finding the Fourth Proportional to 13,153.86, 19,712.16 and 11,590.56

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Solution

The fourth proportional to 13,153.86, 19,712.16 and 11,590.56 is: 17,369.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,153.86 : 19,712.16 = 11,590.56 : x
  2. Step 2: Convert to fraction form
    13,153.86/19,712.16 = 11,590.56/x
  3. Step 3: Cross multiply
    13,153.86x = 19,712.16 × 11,590.56
  4. Step 4: Simplify right side
    13,153.86x = 228,474,973.21
  5. Step 5: Solve for x
    x = 228,474,973.21/13,153.86
  6. Step 6: Final answer
    x = 17,369.42

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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.