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Finding the Fourth Proportional to 14,089.87, 19,444.23 and 7,716.34

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Solution

The fourth proportional to 14,089.87, 19,444.23 and 7,716.34 is: 10,648.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,089.87 : 19,444.23 = 7,716.34 : x
  2. Step 2: Convert to fraction form
    14,089.87/19,444.23 = 7,716.34/x
  3. Step 3: Cross multiply
    14,089.87x = 19,444.23 × 7,716.34
  4. Step 4: Simplify right side
    14,089.87x = 150,038,289.72
  5. Step 5: Solve for x
    x = 150,038,289.72/14,089.87
  6. Step 6: Final answer
    x = 10,648.67

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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.