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Finding the Fourth Proportional to 13,698.40, 18,902.56 and 8,392.16

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Solution

The fourth proportional to 13,698.40, 18,902.56 and 8,392.16 is: 11,580.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698.40 : 18,902.56 = 8,392.16 : x
  2. Step 2: Convert to fraction form
    13,698.40/18,902.56 = 8,392.16/x
  3. Step 3: Cross multiply
    13,698.40x = 18,902.56 × 8,392.16
  4. Step 4: Simplify right side
    13,698.40x = 158,633,307.93
  5. Step 5: Solve for x
    x = 158,633,307.93/13,698.40
  6. Step 6: Final answer
    x = 11,580.43

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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.