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Finding the Fourth Proportional to 15,194.12, 20,971.14 and 8,907.80

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Solution

The fourth proportional to 15,194.12, 20,971.14 and 8,907.80 is: 12,294.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,194.12 : 20,971.14 = 8,907.80 : x
  2. Step 2: Convert to fraction form
    15,194.12/20,971.14 = 8,907.80/x
  3. Step 3: Cross multiply
    15,194.12x = 20,971.14 × 8,907.80
  4. Step 4: Simplify right side
    15,194.12x = 186,806,720.89
  5. Step 5: Solve for x
    x = 186,806,720.89/15,194.12
  6. Step 6: Final answer
    x = 12,294.67

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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.