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Finding the Fourth Proportional to 14,446.42, 19,935.24 and 8,477.66

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Solution

The fourth proportional to 14,446.42, 19,935.24 and 8,477.66 is: 11,698.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,446.42 : 19,935.24 = 8,477.66 : x
  2. Step 2: Convert to fraction form
    14,446.42/19,935.24 = 8,477.66/x
  3. Step 3: Cross multiply
    14,446.42x = 19,935.24 × 8,477.66
  4. Step 4: Simplify right side
    14,446.42x = 169,004,186.74
  5. Step 5: Solve for x
    x = 169,004,186.74/14,446.42
  6. Step 6: Final answer
    x = 11,698.69

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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.