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Finding the Fourth Proportional to 28,590.56, 42,895.92 and 8,874.08

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Solution

The fourth proportional to 28,590.56, 42,895.92 and 8,874.08 is: 13,314.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,590.56 : 42,895.92 = 8,874.08 : x
  2. Step 2: Convert to fraction form
    28,590.56/42,895.92 = 8,874.08/x
  3. Step 3: Cross multiply
    28,590.56x = 42,895.92 × 8,874.08
  4. Step 4: Simplify right side
    28,590.56x = 380,661,825.75
  5. Step 5: Solve for x
    x = 380,661,825.75/28,590.56
  6. Step 6: Final answer
    x = 13,314.25

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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.