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Finding the Fourth Proportional to 13,383.64, 20,038.36 and 10,086.76

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Solution

The fourth proportional to 13,383.64, 20,038.36 and 10,086.76 is: 15,102.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,383.64 : 20,038.36 = 10,086.76 : x
  2. Step 2: Convert to fraction form
    13,383.64/20,038.36 = 10,086.76/x
  3. Step 3: Cross multiply
    13,383.64x = 20,038.36 × 10,086.76
  4. Step 4: Simplify right side
    13,383.64x = 202,122,128.11
  5. Step 5: Solve for x
    x = 202,122,128.11/13,383.64
  6. Step 6: Final answer
    x = 15,102.18

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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.