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Finding the Fourth Proportional to 21,854.26, 30,157.27 and 12,421

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Solution

The fourth proportional to 21,854.26, 30,157.27 and 12,421 is: 17,140.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,854.26 : 30,157.27 = 12,421 : x
  2. Step 2: Convert to fraction form
    21,854.26/30,157.27 = 12,421/x
  3. Step 3: Cross multiply
    21,854.26x = 30,157.27 × 12,421
  4. Step 4: Simplify right side
    21,854.26x = 374,583,450.67
  5. Step 5: Solve for x
    x = 374,583,450.67/21,854.26
  6. Step 6: Final answer
    x = 17,140.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.