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Finding the Fourth Proportional to 34,623, 51,934.74 and 12,436.56

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Solution

The fourth proportional to 34,623, 51,934.74 and 12,436.56 is: 18,654.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,623 : 51,934.74 = 12,436.56 : x
  2. Step 2: Convert to fraction form
    34,623/51,934.74 = 12,436.56/x
  3. Step 3: Cross multiply
    34,623x = 51,934.74 × 12,436.56
  4. Step 4: Simplify right side
    34,623x = 645,889,510.09
  5. Step 5: Solve for x
    x = 645,889,510.09/34,623
  6. Step 6: Final answer
    x = 18,654.93

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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.