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Finding the Fourth Proportional to 13,157.76, 19,725.12 and 4,944

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Solution

The fourth proportional to 13,157.76, 19,725.12 and 4,944 is: 7,411.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,157.76 : 19,725.12 = 4,944 : x
  2. Step 2: Convert to fraction form
    13,157.76/19,725.12 = 4,944/x
  3. Step 3: Cross multiply
    13,157.76x = 19,725.12 × 4,944
  4. Step 4: Simplify right side
    13,157.76x = 97,520,993.28
  5. Step 5: Solve for x
    x = 97,520,993.28/13,157.76
  6. Step 6: Final answer
    x = 7,411.67

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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.