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Finding the Fourth Proportional to 13,973.76, 20,971.08 and 9,786.24

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Solution

The fourth proportional to 13,973.76, 20,971.08 and 9,786.24 is: 14,686.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,973.76 : 20,971.08 = 9,786.24 : x
  2. Step 2: Convert to fraction form
    13,973.76/20,971.08 = 9,786.24/x
  3. Step 3: Cross multiply
    13,973.76x = 20,971.08 × 9,786.24
  4. Step 4: Simplify right side
    13,973.76x = 205,228,021.94
  5. Step 5: Solve for x
    x = 205,228,021.94/13,973.76
  6. Step 6: Final answer
    x = 14,686.67

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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.