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Finding the Fourth Proportional to 13,784.40, 19,001.16 and 8,469.20

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Solution

The fourth proportional to 13,784.40, 19,001.16 and 8,469.20 is: 11,674.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,784.40 : 19,001.16 = 8,469.20 : x
  2. Step 2: Convert to fraction form
    13,784.40/19,001.16 = 8,469.20/x
  3. Step 3: Cross multiply
    13,784.40x = 19,001.16 × 8,469.20
  4. Step 4: Simplify right side
    13,784.40x = 160,924,624.27
  5. Step 5: Solve for x
    x = 160,924,624.27/13,784.40
  6. Step 6: Final answer
    x = 11,674.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.