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Finding the Fourth Proportional to 20,715.43, 28,587.60 and 11,284

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Solution

The fourth proportional to 20,715.43, 28,587.60 and 11,284 is: 15,572.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,715.43 : 28,587.60 = 11,284 : x
  2. Step 2: Convert to fraction form
    20,715.43/28,587.60 = 11,284/x
  3. Step 3: Cross multiply
    20,715.43x = 28,587.60 × 11,284
  4. Step 4: Simplify right side
    20,715.43x = 322,582,478.40
  5. Step 5: Solve for x
    x = 322,582,478.40/20,715.43
  6. Step 6: Final answer
    x = 15,572.09

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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.