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Finding the Fourth Proportional to 15,420.20, 21,260.60 and 12,871.64

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Solution

The fourth proportional to 15,420.20, 21,260.60 and 12,871.64 is: 17,746.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,420.20 : 21,260.60 = 12,871.64 : x
  2. Step 2: Convert to fraction form
    15,420.20/21,260.60 = 12,871.64/x
  3. Step 3: Cross multiply
    15,420.20x = 21,260.60 × 12,871.64
  4. Step 4: Simplify right side
    15,420.20x = 273,658,789.38
  5. Step 5: Solve for x
    x = 273,658,789.38/15,420.20
  6. Step 6: Final answer
    x = 17,746.77

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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.