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Finding the Fourth Proportional to 16,846.70, 25,254.74 and 10,587.75

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Solution

The fourth proportional to 16,846.70, 25,254.74 and 10,587.75 is: 15,872.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,846.70 : 25,254.74 = 10,587.75 : x
  2. Step 2: Convert to fraction form
    16,846.70/25,254.74 = 10,587.75/x
  3. Step 3: Cross multiply
    16,846.70x = 25,254.74 × 10,587.75
  4. Step 4: Simplify right side
    16,846.70x = 267,390,820.50
  5. Step 5: Solve for x
    x = 267,390,820.50/16,846.70
  6. Step 6: Final answer
    x = 15,872.00

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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.