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Finding the Fourth Proportional to 14,246.34, 19,656.59 and 8,274.47

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Solution

The fourth proportional to 14,246.34, 19,656.59 and 8,274.47 is: 11,416.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,246.34 : 19,656.59 = 8,274.47 : x
  2. Step 2: Convert to fraction form
    14,246.34/19,656.59 = 8,274.47/x
  3. Step 3: Cross multiply
    14,246.34x = 19,656.59 × 8,274.47
  4. Step 4: Simplify right side
    14,246.34x = 162,647,724.60
  5. Step 5: Solve for x
    x = 162,647,724.60/14,246.34
  6. Step 6: Final answer
    x = 11,416.81

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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.