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Finding the Fourth Proportional to 28,594.77, 42,894.05 and 9,876.62

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Solution

The fourth proportional to 28,594.77, 42,894.05 and 9,876.62 is: 14,815.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,594.77 : 42,894.05 = 9,876.62 : x
  2. Step 2: Convert to fraction form
    28,594.77/42,894.05 = 9,876.62/x
  3. Step 3: Cross multiply
    28,594.77x = 42,894.05 × 9,876.62
  4. Step 4: Simplify right side
    28,594.77x = 423,647,968.26
  5. Step 5: Solve for x
    x = 423,647,968.26/28,594.77
  6. Step 6: Final answer
    x = 14,815.58

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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.