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Finding the Fourth Proportional to 28,829, 39,784.06 and 16,083.01

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Solution

The fourth proportional to 28,829, 39,784.06 and 16,083.01 is: 22,194.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,829 : 39,784.06 = 16,083.01 : x
  2. Step 2: Convert to fraction form
    28,829/39,784.06 = 16,083.01/x
  3. Step 3: Cross multiply
    28,829x = 39,784.06 × 16,083.01
  4. Step 4: Simplify right side
    28,829x = 639,847,235.90
  5. Step 5: Solve for x
    x = 639,847,235.90/28,829
  6. Step 6: Final answer
    x = 22,194.57

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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.