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Finding the Fourth Proportional to 28,305.56, 42,458.40 and 9,837.56

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Solution

The fourth proportional to 28,305.56, 42,458.40 and 9,837.56 is: 14,756.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,305.56 : 42,458.40 = 9,837.56 : x
  2. Step 2: Convert to fraction form
    28,305.56/42,458.40 = 9,837.56/x
  3. Step 3: Cross multiply
    28,305.56x = 42,458.40 × 9,837.56
  4. Step 4: Simplify right side
    28,305.56x = 417,687,057.50
  5. Step 5: Solve for x
    x = 417,687,057.50/28,305.56
  6. Step 6: Final answer
    x = 14,756.36

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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.