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Finding the Fourth Proportional to 14,214.96, 19,624.68 and 9,443.09

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Solution

The fourth proportional to 14,214.96, 19,624.68 and 9,443.09 is: 13,036.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,214.96 : 19,624.68 = 9,443.09 : x
  2. Step 2: Convert to fraction form
    14,214.96/19,624.68 = 9,443.09/x
  3. Step 3: Cross multiply
    14,214.96x = 19,624.68 × 9,443.09
  4. Step 4: Simplify right side
    14,214.96x = 185,317,619.46
  5. Step 5: Solve for x
    x = 185,317,619.46/14,214.96
  6. Step 6: Final answer
    x = 13,036.80

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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.