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Finding the Fourth Proportional to 15,525.10, 21,423.54 and 8,451.46

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Solution

The fourth proportional to 15,525.10, 21,423.54 and 8,451.46 is: 11,662.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,525.10 : 21,423.54 = 8,451.46 : x
  2. Step 2: Convert to fraction form
    15,525.10/21,423.54 = 8,451.46/x
  3. Step 3: Cross multiply
    15,525.10x = 21,423.54 × 8,451.46
  4. Step 4: Simplify right side
    15,525.10x = 181,060,191.37
  5. Step 5: Solve for x
    x = 181,060,191.37/15,525.10
  6. Step 6: Final answer
    x = 11,662.42

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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.