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Finding the Fourth Proportional to 21,527.14, 32,293.95 and 7,675.06

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Solution

The fourth proportional to 21,527.14, 32,293.95 and 7,675.06 is: 11,513.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,527.14 : 32,293.95 = 7,675.06 : x
  2. Step 2: Convert to fraction form
    21,527.14/32,293.95 = 7,675.06/x
  3. Step 3: Cross multiply
    21,527.14x = 32,293.95 × 7,675.06
  4. Step 4: Simplify right side
    21,527.14x = 247,858,003.89
  5. Step 5: Solve for x
    x = 247,858,003.89/21,527.14
  6. Step 6: Final answer
    x = 11,513.75

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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.