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Finding the Fourth Proportional to 14,434.47, 21,653.08 and 5,667.34

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Solution

The fourth proportional to 14,434.47, 21,653.08 and 5,667.34 is: 8,501.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,434.47 : 21,653.08 = 5,667.34 : x
  2. Step 2: Convert to fraction form
    14,434.47/21,653.08 = 5,667.34/x
  3. Step 3: Cross multiply
    14,434.47x = 21,653.08 × 5,667.34
  4. Step 4: Simplify right side
    14,434.47x = 122,715,229.81
  5. Step 5: Solve for x
    x = 122,715,229.81/14,434.47
  6. Step 6: Final answer
    x = 8,501.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.