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Finding the Fourth Proportional to 21,667.71, 32,504.29 and 7,438.96

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Solution

The fourth proportional to 21,667.71, 32,504.29 and 7,438.96 is: 11,159.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,667.71 : 32,504.29 = 7,438.96 : x
  2. Step 2: Convert to fraction form
    21,667.71/32,504.29 = 7,438.96/x
  3. Step 3: Cross multiply
    21,667.71x = 32,504.29 × 7,438.96
  4. Step 4: Simplify right side
    21,667.71x = 241,798,113.14
  5. Step 5: Solve for x
    x = 241,798,113.14/21,667.71
  6. Step 6: Final answer
    x = 11,159.38

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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.