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Finding the Fourth Proportional to 28,158.84, 38,852.65 and 16,832

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Solution

The fourth proportional to 28,158.84, 38,852.65 and 16,832 is: 23,224.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,158.84 : 38,852.65 = 16,832 : x
  2. Step 2: Convert to fraction form
    28,158.84/38,852.65 = 16,832/x
  3. Step 3: Cross multiply
    28,158.84x = 38,852.65 × 16,832
  4. Step 4: Simplify right side
    28,158.84x = 653,967,804.80
  5. Step 5: Solve for x
    x = 653,967,804.80/28,158.84
  6. Step 6: Final answer
    x = 23,224.25

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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.