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Finding the Fourth Proportional to 13,262.98, 19,894.50 and 6,237.86

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Solution

The fourth proportional to 13,262.98, 19,894.50 and 6,237.86 is: 9,356.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,262.98 : 19,894.50 = 6,237.86 : x
  2. Step 2: Convert to fraction form
    13,262.98/19,894.50 = 6,237.86/x
  3. Step 3: Cross multiply
    13,262.98x = 19,894.50 × 6,237.86
  4. Step 4: Simplify right side
    13,262.98x = 124,099,105.77
  5. Step 5: Solve for x
    x = 124,099,105.77/13,262.98
  6. Step 6: Final answer
    x = 9,356.80

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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.