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Finding the Fourth Proportional to 13,701.90, 20,535.81 and 7,124.22

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Solution

The fourth proportional to 13,701.90, 20,535.81 and 7,124.22 is: 10,677.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,701.90 : 20,535.81 = 7,124.22 : x
  2. Step 2: Convert to fraction form
    13,701.90/20,535.81 = 7,124.22/x
  3. Step 3: Cross multiply
    13,701.90x = 20,535.81 × 7,124.22
  4. Step 4: Simplify right side
    13,701.90x = 146,301,628.32
  5. Step 5: Solve for x
    x = 146,301,628.32/13,701.90
  6. Step 6: Final answer
    x = 10,677.47

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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.