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Finding the Fourth Proportional to 13,101.61, 19,661.93 and 9,823.54

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Solution

The fourth proportional to 13,101.61, 19,661.93 and 9,823.54 is: 14,742.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,101.61 : 19,661.93 = 9,823.54 : x
  2. Step 2: Convert to fraction form
    13,101.61/19,661.93 = 9,823.54/x
  3. Step 3: Cross multiply
    13,101.61x = 19,661.93 × 9,823.54
  4. Step 4: Simplify right side
    13,101.61x = 193,149,755.83
  5. Step 5: Solve for x
    x = 193,149,755.83/13,101.61
  6. Step 6: Final answer
    x = 14,742.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.