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Finding the Fourth Proportional to 21,157.48, 31,731 and 8,681.05

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Solution

The fourth proportional to 21,157.48, 31,731 and 8,681.05 is: 13,019.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,157.48 : 31,731 = 8,681.05 : x
  2. Step 2: Convert to fraction form
    21,157.48/31,731 = 8,681.05/x
  3. Step 3: Cross multiply
    21,157.48x = 31,731 × 8,681.05
  4. Step 4: Simplify right side
    21,157.48x = 275,458,397.55
  5. Step 5: Solve for x
    x = 275,458,397.55/21,157.48
  6. Step 6: Final answer
    x = 13,019.43

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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.