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Finding the Fourth Proportional to 28,257.84, 38,995.98 and 17,653.64

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Solution

The fourth proportional to 28,257.84, 38,995.98 and 17,653.64 is: 24,362.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,257.84 : 38,995.98 = 17,653.64 : x
  2. Step 2: Convert to fraction form
    28,257.84/38,995.98 = 17,653.64/x
  3. Step 3: Cross multiply
    28,257.84x = 38,995.98 × 17,653.64
  4. Step 4: Simplify right side
    28,257.84x = 688,420,797.39
  5. Step 5: Solve for x
    x = 688,420,797.39/28,257.84
  6. Step 6: Final answer
    x = 24,362.12

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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.