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Finding the Fourth Proportional to 24,541.65, 36,804.38 and 7,897.70

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Solution

The fourth proportional to 24,541.65, 36,804.38 and 7,897.70 is: 11,843.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,541.65 : 36,804.38 = 7,897.70 : x
  2. Step 2: Convert to fraction form
    24,541.65/36,804.38 = 7,897.70/x
  3. Step 3: Cross multiply
    24,541.65x = 36,804.38 × 7,897.70
  4. Step 4: Simplify right side
    24,541.65x = 290,670,004.45
  5. Step 5: Solve for x
    x = 290,670,004.45/24,541.65
  6. Step 6: Final answer
    x = 11,843.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.