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Finding the Fourth Proportional to 14,133.13, 19,503.53 and 8,164.67

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Solution

The fourth proportional to 14,133.13, 19,503.53 and 8,164.67 is: 11,267.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,133.13 : 19,503.53 = 8,164.67 : x
  2. Step 2: Convert to fraction form
    14,133.13/19,503.53 = 8,164.67/x
  3. Step 3: Cross multiply
    14,133.13x = 19,503.53 × 8,164.67
  4. Step 4: Simplify right side
    14,133.13x = 159,239,778.56
  5. Step 5: Solve for x
    x = 159,239,778.56/14,133.13
  6. Step 6: Final answer
    x = 11,267.13

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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.