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Finding the Fourth Proportional to 13,166.40, 19,749.60 and 12,302.40

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Solution

The fourth proportional to 13,166.40, 19,749.60 and 12,302.40 is: 18,453.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,166.40 : 19,749.60 = 12,302.40 : x
  2. Step 2: Convert to fraction form
    13,166.40/19,749.60 = 12,302.40/x
  3. Step 3: Cross multiply
    13,166.40x = 19,749.60 × 12,302.40
  4. Step 4: Simplify right side
    13,166.40x = 242,967,479.04
  5. Step 5: Solve for x
    x = 242,967,479.04/13,166.40
  6. Step 6: Final answer
    x = 18,453.60

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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.