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Finding the Fourth Proportional to 28,577.50, 42,869.06 and 9,855.08

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Solution

The fourth proportional to 28,577.50, 42,869.06 and 9,855.08 is: 14,783.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,577.50 : 42,869.06 = 9,855.08 : x
  2. Step 2: Convert to fraction form
    28,577.50/42,869.06 = 9,855.08/x
  3. Step 3: Cross multiply
    28,577.50x = 42,869.06 × 9,855.08
  4. Step 4: Simplify right side
    28,577.50x = 422,478,147.64
  5. Step 5: Solve for x
    x = 422,478,147.64/28,577.50
  6. Step 6: Final answer
    x = 14,783.59

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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.