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Finding the Fourth Proportional to 15,124.32, 20,871.72 and 8,409.60

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Solution

The fourth proportional to 15,124.32, 20,871.72 and 8,409.60 is: 11,605.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,124.32 : 20,871.72 = 8,409.60 : x
  2. Step 2: Convert to fraction form
    15,124.32/20,871.72 = 8,409.60/x
  3. Step 3: Cross multiply
    15,124.32x = 20,871.72 × 8,409.60
  4. Step 4: Simplify right side
    15,124.32x = 175,522,816.51
  5. Step 5: Solve for x
    x = 175,522,816.51/15,124.32
  6. Step 6: Final answer
    x = 11,605.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.