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Finding the Fourth Proportional to 13,438.95, 20,106.30 and 9,699.33

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Solution

The fourth proportional to 13,438.95, 20,106.30 and 9,699.33 is: 14,511.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,438.95 : 20,106.30 = 9,699.33 : x
  2. Step 2: Convert to fraction form
    13,438.95/20,106.30 = 9,699.33/x
  3. Step 3: Cross multiply
    13,438.95x = 20,106.30 × 9,699.33
  4. Step 4: Simplify right side
    13,438.95x = 195,017,638.78
  5. Step 5: Solve for x
    x = 195,017,638.78/13,438.95
  6. Step 6: Final answer
    x = 14,511.37

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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.