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Finding the Fourth Proportional to 24,791.12, 34,211.40 and 15,362

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Solution

The fourth proportional to 24,791.12, 34,211.40 and 15,362 is: 21,199.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,791.12 : 34,211.40 = 15,362 : x
  2. Step 2: Convert to fraction form
    24,791.12/34,211.40 = 15,362/x
  3. Step 3: Cross multiply
    24,791.12x = 34,211.40 × 15,362
  4. Step 4: Simplify right side
    24,791.12x = 525,555,526.80
  5. Step 5: Solve for x
    x = 525,555,526.80/24,791.12
  6. Step 6: Final answer
    x = 21,199.35

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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.