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Finding the Fourth Proportional to 28,555.86, 42,836.64 and 9,833.41

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Solution

The fourth proportional to 28,555.86, 42,836.64 and 9,833.41 is: 14,751.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,555.86 : 42,836.64 = 9,833.41 : x
  2. Step 2: Convert to fraction form
    28,555.86/42,836.64 = 9,833.41/x
  3. Step 3: Cross multiply
    28,555.86x = 42,836.64 × 9,833.41
  4. Step 4: Simplify right side
    28,555.86x = 421,230,244.14
  5. Step 5: Solve for x
    x = 421,230,244.14/28,555.86
  6. Step 6: Final answer
    x = 14,751.10

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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.