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Finding the Fourth Proportional to 15,431.64, 21,275.78 and 12,596.10

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Solution

The fourth proportional to 15,431.64, 21,275.78 and 12,596.10 is: 17,366.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,431.64 : 21,275.78 = 12,596.10 : x
  2. Step 2: Convert to fraction form
    15,431.64/21,275.78 = 12,596.10/x
  3. Step 3: Cross multiply
    15,431.64x = 21,275.78 × 12,596.10
  4. Step 4: Simplify right side
    15,431.64x = 267,991,789.48
  5. Step 5: Solve for x
    x = 267,991,789.48/15,431.64
  6. Step 6: Final answer
    x = 17,366.38

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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.