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Finding the Fourth Proportional to 28,788, 39,730.96 and 16,214.96

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Solution

The fourth proportional to 28,788, 39,730.96 and 16,214.96 is: 22,378.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,788 : 39,730.96 = 16,214.96 : x
  2. Step 2: Convert to fraction form
    28,788/39,730.96 = 16,214.96/x
  3. Step 3: Cross multiply
    28,788x = 39,730.96 × 16,214.96
  4. Step 4: Simplify right side
    28,788x = 644,235,927.16
  5. Step 5: Solve for x
    x = 644,235,927.16/28,788
  6. Step 6: Final answer
    x = 22,378.63

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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.