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Finding the Fourth Proportional to 13,001.78, 19,534.77 and 8,323.83

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Solution

The fourth proportional to 13,001.78, 19,534.77 and 8,323.83 is: 12,506.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,001.78 : 19,534.77 = 8,323.83 : x
  2. Step 2: Convert to fraction form
    13,001.78/19,534.77 = 8,323.83/x
  3. Step 3: Cross multiply
    13,001.78x = 19,534.77 × 8,323.83
  4. Step 4: Simplify right side
    13,001.78x = 162,604,104.57
  5. Step 5: Solve for x
    x = 162,604,104.57/13,001.78
  6. Step 6: Final answer
    x = 12,506.29

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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.