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Finding the Fourth Proportional to 14,135.13, 19,506.29 and 8,166.67

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Solution

The fourth proportional to 14,135.13, 19,506.29 and 8,166.67 is: 11,269.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,135.13 : 19,506.29 = 8,166.67 : x
  2. Step 2: Convert to fraction form
    14,135.13/19,506.29 = 8,166.67/x
  3. Step 3: Cross multiply
    14,135.13x = 19,506.29 × 8,166.67
  4. Step 4: Simplify right side
    14,135.13x = 159,301,433.35
  5. Step 5: Solve for x
    x = 159,301,433.35/14,135.13
  6. Step 6: Final answer
    x = 11,269.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.