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Finding the Fourth Proportional to 13,892.69, 20,838.40 and 4,031.77

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Solution

The fourth proportional to 13,892.69, 20,838.40 and 4,031.77 is: 6,047.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,892.69 : 20,838.40 = 4,031.77 : x
  2. Step 2: Convert to fraction form
    13,892.69/20,838.40 = 4,031.77/x
  3. Step 3: Cross multiply
    13,892.69x = 20,838.40 × 4,031.77
  4. Step 4: Simplify right side
    13,892.69x = 84,015,615.81
  5. Step 5: Solve for x
    x = 84,015,615.81/13,892.69
  6. Step 6: Final answer
    x = 6,047.47

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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.