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Finding the Fourth Proportional to 14,064.78, 19,409.37 and 8,097.60

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Solution

The fourth proportional to 14,064.78, 19,409.37 and 8,097.60 is: 11,174.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,064.78 : 19,409.37 = 8,097.60 : x
  2. Step 2: Convert to fraction form
    14,064.78/19,409.37 = 8,097.60/x
  3. Step 3: Cross multiply
    14,064.78x = 19,409.37 × 8,097.60
  4. Step 4: Simplify right side
    14,064.78x = 157,169,314.51
  5. Step 5: Solve for x
    x = 157,169,314.51/14,064.78
  6. Step 6: Final answer
    x = 11,174.67

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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.