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Finding the Fourth Proportional to 14,009.82, 19,306.96 and 10,023.99

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Solution

The fourth proportional to 14,009.82, 19,306.96 and 10,023.99 is: 13,814.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,009.82 : 19,306.96 = 10,023.99 : x
  2. Step 2: Convert to fraction form
    14,009.82/19,306.96 = 10,023.99/x
  3. Step 3: Cross multiply
    14,009.82x = 19,306.96 × 10,023.99
  4. Step 4: Simplify right side
    14,009.82x = 193,532,725.70
  5. Step 5: Solve for x
    x = 193,532,725.70/14,009.82
  6. Step 6: Final answer
    x = 13,814.08

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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.