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Finding the Fourth Proportional to 28,220.16, 38,945.64 and 16,284

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Solution

The fourth proportional to 28,220.16, 38,945.64 and 16,284 is: 22,472.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,220.16 : 38,945.64 = 16,284 : x
  2. Step 2: Convert to fraction form
    28,220.16/38,945.64 = 16,284/x
  3. Step 3: Cross multiply
    28,220.16x = 38,945.64 × 16,284
  4. Step 4: Simplify right side
    28,220.16x = 634,190,801.76
  5. Step 5: Solve for x
    x = 634,190,801.76/28,220.16
  6. Step 6: Final answer
    x = 22,472.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.