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Finding the Fourth Proportional to 25,615.98, 38,435.84 and 10,828.34

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Solution

The fourth proportional to 25,615.98, 38,435.84 and 10,828.34 is: 16,247.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,615.98 : 38,435.84 = 10,828.34 : x
  2. Step 2: Convert to fraction form
    25,615.98/38,435.84 = 10,828.34/x
  3. Step 3: Cross multiply
    25,615.98x = 38,435.84 × 10,828.34
  4. Step 4: Simplify right side
    25,615.98x = 416,196,343.71
  5. Step 5: Solve for x
    x = 416,196,343.71/25,615.98
  6. Step 6: Final answer
    x = 16,247.53

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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.