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Finding the Fourth Proportional to 13,189.98, 19,746.66 and 9,236.34

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Solution

The fourth proportional to 13,189.98, 19,746.66 and 9,236.34 is: 13,827.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,189.98 : 19,746.66 = 9,236.34 : x
  2. Step 2: Convert to fraction form
    13,189.98/19,746.66 = 9,236.34/x
  3. Step 3: Cross multiply
    13,189.98x = 19,746.66 × 9,236.34
  4. Step 4: Simplify right side
    13,189.98x = 182,386,865.62
  5. Step 5: Solve for x
    x = 182,386,865.62/13,189.98
  6. Step 6: Final answer
    x = 13,827.68

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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.