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Finding the Fourth Proportional to 21,402.51, 29,533.86 and 11,969.25

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Solution

The fourth proportional to 21,402.51, 29,533.86 and 11,969.25 is: 16,516.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,402.51 : 29,533.86 = 11,969.25 : x
  2. Step 2: Convert to fraction form
    21,402.51/29,533.86 = 11,969.25/x
  3. Step 3: Cross multiply
    21,402.51x = 29,533.86 × 11,969.25
  4. Step 4: Simplify right side
    21,402.51x = 353,498,153.81
  5. Step 5: Solve for x
    x = 353,498,153.81/21,402.51
  6. Step 6: Final answer
    x = 16,516.67

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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.