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Finding the Fourth Proportional to 14,357.30, 19,814.63 and 8,390.97

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Solution

The fourth proportional to 14,357.30, 19,814.63 and 8,390.97 is: 11,580.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,357.30 : 19,814.63 = 8,390.97 : x
  2. Step 2: Convert to fraction form
    14,357.30/19,814.63 = 8,390.97/x
  3. Step 3: Cross multiply
    14,357.30x = 19,814.63 × 8,390.97
  4. Step 4: Simplify right side
    14,357.30x = 166,263,923.94
  5. Step 5: Solve for x
    x = 166,263,923.94/14,357.30
  6. Step 6: Final answer
    x = 11,580.45

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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.