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Finding the Fourth Proportional to 19,591.36, 29,376 and 6,440.20

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Solution

The fourth proportional to 19,591.36, 29,376 and 6,440.20 is: 9,656.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,591.36 : 29,376 = 6,440.20 : x
  2. Step 2: Convert to fraction form
    19,591.36/29,376 = 6,440.20/x
  3. Step 3: Cross multiply
    19,591.36x = 29,376 × 6,440.20
  4. Step 4: Simplify right side
    19,591.36x = 189,187,315.20
  5. Step 5: Solve for x
    x = 189,187,315.20/19,591.36
  6. Step 6: Final answer
    x = 9,656.67

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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.