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Finding the Fourth Proportional to 14,426.96, 19,914.51 and 8,463.64

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Solution

The fourth proportional to 14,426.96, 19,914.51 and 8,463.64 is: 11,682.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,426.96 : 19,914.51 = 8,463.64 : x
  2. Step 2: Convert to fraction form
    14,426.96/19,914.51 = 8,463.64/x
  3. Step 3: Cross multiply
    14,426.96x = 19,914.51 × 8,463.64
  4. Step 4: Simplify right side
    14,426.96x = 168,549,215.10
  5. Step 5: Solve for x
    x = 168,549,215.10/14,426.96
  6. Step 6: Final answer
    x = 11,682.93

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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.