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Finding the Fourth Proportional to 13,076.39, 19,614.59 and 5,290.67

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Solution

The fourth proportional to 13,076.39, 19,614.59 and 5,290.67 is: 7,936.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,076.39 : 19,614.59 = 5,290.67 : x
  2. Step 2: Convert to fraction form
    13,076.39/19,614.59 = 5,290.67/x
  3. Step 3: Cross multiply
    13,076.39x = 19,614.59 × 5,290.67
  4. Step 4: Simplify right side
    13,076.39x = 103,774,322.88
  5. Step 5: Solve for x
    x = 103,774,322.88/13,076.39
  6. Step 6: Final answer
    x = 7,936.01

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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.