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Finding the Fourth Proportional to 28,042.29, 38,698.38 and 16,106.40

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Solution

The fourth proportional to 28,042.29, 38,698.38 and 16,106.40 is: 22,226.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,042.29 : 38,698.38 = 16,106.40 : x
  2. Step 2: Convert to fraction form
    28,042.29/38,698.38 = 16,106.40/x
  3. Step 3: Cross multiply
    28,042.29x = 38,698.38 × 16,106.40
  4. Step 4: Simplify right side
    28,042.29x = 623,291,587.63
  5. Step 5: Solve for x
    x = 623,291,587.63/28,042.29
  6. Step 6: Final answer
    x = 22,226.84

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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.