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Finding the Fourth Proportional to 28,422.63, 39,222.70 and 15,677

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Solution

The fourth proportional to 28,422.63, 39,222.70 and 15,677 is: 21,633.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,422.63 : 39,222.70 = 15,677 : x
  2. Step 2: Convert to fraction form
    28,422.63/39,222.70 = 15,677/x
  3. Step 3: Cross multiply
    28,422.63x = 39,222.70 × 15,677
  4. Step 4: Simplify right side
    28,422.63x = 614,894,189.52
  5. Step 5: Solve for x
    x = 614,894,189.52/28,422.63
  6. Step 6: Final answer
    x = 21,633.97

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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.