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Finding the Fourth Proportional to 16,852.88, 25,276.28 and 4,538

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Solution

The fourth proportional to 16,852.88, 25,276.28 and 4,538 is: 6,806.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,852.88 : 25,276.28 = 4,538 : x
  2. Step 2: Convert to fraction form
    16,852.88/25,276.28 = 4,538/x
  3. Step 3: Cross multiply
    16,852.88x = 25,276.28 × 4,538
  4. Step 4: Simplify right side
    16,852.88x = 114,703,758.64
  5. Step 5: Solve for x
    x = 114,703,758.64/16,852.88
  6. Step 6: Final answer
    x = 6,806.18

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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.