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Finding the Fourth Proportional to 14,026.74, 19,355.54 and 7,738.71

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Solution

The fourth proportional to 14,026.74, 19,355.54 and 7,738.71 is: 10,678.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,026.74 : 19,355.54 = 7,738.71 : x
  2. Step 2: Convert to fraction form
    14,026.74/19,355.54 = 7,738.71/x
  3. Step 3: Cross multiply
    14,026.74x = 19,355.54 × 7,738.71
  4. Step 4: Simplify right side
    14,026.74x = 149,786,872.26
  5. Step 5: Solve for x
    x = 149,786,872.26/14,026.74
  6. Step 6: Final answer
    x = 10,678.67

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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.