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Finding the Fourth Proportional to 14,968.14, 20,656.50 and 9,226.86

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Solution

The fourth proportional to 14,968.14, 20,656.50 and 9,226.86 is: 12,733.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,968.14 : 20,656.50 = 9,226.86 : x
  2. Step 2: Convert to fraction form
    14,968.14/20,656.50 = 9,226.86/x
  3. Step 3: Cross multiply
    14,968.14x = 20,656.50 × 9,226.86
  4. Step 4: Simplify right side
    14,968.14x = 190,594,633.59
  5. Step 5: Solve for x
    x = 190,594,633.59/14,968.14
  6. Step 6: Final answer
    x = 12,733.35

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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.