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Finding the Fourth Proportional to 15,077.89, 20,816.93 and 9,709.67

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Solution

The fourth proportional to 15,077.89, 20,816.93 and 9,709.67 is: 13,405.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,077.89 : 20,816.93 = 9,709.67 : x
  2. Step 2: Convert to fraction form
    15,077.89/20,816.93 = 9,709.67/x
  3. Step 3: Cross multiply
    15,077.89x = 20,816.93 × 9,709.67
  4. Step 4: Simplify right side
    15,077.89x = 202,125,520.71
  5. Step 5: Solve for x
    x = 202,125,520.71/15,077.89
  6. Step 6: Final answer
    x = 13,405.42

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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.