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Finding the Fourth Proportional to 28,006.40, 38,648.51 and 16,071.60

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Solution

The fourth proportional to 28,006.40, 38,648.51 and 16,071.60 is: 22,178.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,006.40 : 38,648.51 = 16,071.60 : x
  2. Step 2: Convert to fraction form
    28,006.40/38,648.51 = 16,071.60/x
  3. Step 3: Cross multiply
    28,006.40x = 38,648.51 × 16,071.60
  4. Step 4: Simplify right side
    28,006.40x = 621,143,393.32
  5. Step 5: Solve for x
    x = 621,143,393.32/28,006.40
  6. Step 6: Final answer
    x = 22,178.63

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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.