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Finding the Fourth Proportional to 28,596.36, 42,880.50 and 8,871.24

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Solution

The fourth proportional to 28,596.36, 42,880.50 and 8,871.24 is: 13,302.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,596.36 : 42,880.50 = 8,871.24 : x
  2. Step 2: Convert to fraction form
    28,596.36/42,880.50 = 8,871.24/x
  3. Step 3: Cross multiply
    28,596.36x = 42,880.50 × 8,871.24
  4. Step 4: Simplify right side
    28,596.36x = 380,403,206.82
  5. Step 5: Solve for x
    x = 380,403,206.82/28,596.36
  6. Step 6: Final answer
    x = 13,302.50

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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.