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Finding the Fourth Proportional to 13,114.40, 19,679.60 and 5,322.40

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Solution

The fourth proportional to 13,114.40, 19,679.60 and 5,322.40 is: 7,986.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114.40 : 19,679.60 = 5,322.40 : x
  2. Step 2: Convert to fraction form
    13,114.40/19,679.60 = 5,322.40/x
  3. Step 3: Cross multiply
    13,114.40x = 19,679.60 × 5,322.40
  4. Step 4: Simplify right side
    13,114.40x = 104,742,703.04
  5. Step 5: Solve for x
    x = 104,742,703.04/13,114.40
  6. Step 6: Final answer
    x = 7,986.85

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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.