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Finding the Fourth Proportional to 13,614.40, 20,421.60 and 11,886.40

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Solution

The fourth proportional to 13,614.40, 20,421.60 and 11,886.40 is: 17,829.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,614.40 : 20,421.60 = 11,886.40 : x
  2. Step 2: Convert to fraction form
    13,614.40/20,421.60 = 11,886.40/x
  3. Step 3: Cross multiply
    13,614.40x = 20,421.60 × 11,886.40
  4. Step 4: Simplify right side
    13,614.40x = 242,739,306.24
  5. Step 5: Solve for x
    x = 242,739,306.24/13,614.40
  6. Step 6: Final answer
    x = 17,829.60

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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.