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Finding the Fourth Proportional to 21,681.91, 32,527.46 and 7,641.37

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Solution

The fourth proportional to 21,681.91, 32,527.46 and 7,641.37 is: 11,463.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,681.91 : 32,527.46 = 7,641.37 : x
  2. Step 2: Convert to fraction form
    21,681.91/32,527.46 = 7,641.37/x
  3. Step 3: Cross multiply
    21,681.91x = 32,527.46 × 7,641.37
  4. Step 4: Simplify right side
    21,681.91x = 248,554,357.02
  5. Step 5: Solve for x
    x = 248,554,357.02/21,681.91
  6. Step 6: Final answer
    x = 11,463.67

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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.