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Finding the Fourth Proportional to 13,921.64, 19,211.94 and 7,548.28

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Solution

The fourth proportional to 13,921.64, 19,211.94 and 7,548.28 is: 10,416.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,921.64 : 19,211.94 = 7,548.28 : x
  2. Step 2: Convert to fraction form
    13,921.64/19,211.94 = 7,548.28/x
  3. Step 3: Cross multiply
    13,921.64x = 19,211.94 × 7,548.28
  4. Step 4: Simplify right side
    13,921.64x = 145,017,102.46
  5. Step 5: Solve for x
    x = 145,017,102.46/13,921.64
  6. Step 6: Final answer
    x = 10,416.67

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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.