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Finding the Fourth Proportional to 15,897.73, 23,846.58 and 4,210.95

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Solution

The fourth proportional to 15,897.73, 23,846.58 and 4,210.95 is: 6,316.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,897.73 : 23,846.58 = 4,210.95 : x
  2. Step 2: Convert to fraction form
    15,897.73/23,846.58 = 4,210.95/x
  3. Step 3: Cross multiply
    15,897.73x = 23,846.58 × 4,210.95
  4. Step 4: Simplify right side
    15,897.73x = 100,416,756.05
  5. Step 5: Solve for x
    x = 100,416,756.05/15,897.73
  6. Step 6: Final answer
    x = 6,316.42

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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.