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Finding the Fourth Proportional to 13,207.60, 19,801.80 and 5,412.40

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Solution

The fourth proportional to 13,207.60, 19,801.80 and 5,412.40 is: 8,114.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,207.60 : 19,801.80 = 5,412.40 : x
  2. Step 2: Convert to fraction form
    13,207.60/19,801.80 = 5,412.40/x
  3. Step 3: Cross multiply
    13,207.60x = 19,801.80 × 5,412.40
  4. Step 4: Simplify right side
    13,207.60x = 107,175,262.32
  5. Step 5: Solve for x
    x = 107,175,262.32/13,207.60
  6. Step 6: Final answer
    x = 8,114.67

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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.