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Finding the Fourth Proportional to 28,000.26, 38,646.04 and 16,071.80

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Solution

The fourth proportional to 28,000.26, 38,646.04 and 16,071.80 is: 22,182.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,000.26 : 38,646.04 = 16,071.80 : x
  2. Step 2: Convert to fraction form
    28,000.26/38,646.04 = 16,071.80/x
  3. Step 3: Cross multiply
    28,000.26x = 38,646.04 × 16,071.80
  4. Step 4: Simplify right side
    28,000.26x = 621,111,425.67
  5. Step 5: Solve for x
    x = 621,111,425.67/28,000.26
  6. Step 6: Final answer
    x = 22,182.34

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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.