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Finding the Fourth Proportional to 20,341.76, 30,513.16 and 6,490.76

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Solution

The fourth proportional to 20,341.76, 30,513.16 and 6,490.76 is: 9,736.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,341.76 : 30,513.16 = 6,490.76 : x
  2. Step 2: Convert to fraction form
    20,341.76/30,513.16 = 6,490.76/x
  3. Step 3: Cross multiply
    20,341.76x = 30,513.16 × 6,490.76
  4. Step 4: Simplify right side
    20,341.76x = 198,053,598.40
  5. Step 5: Solve for x
    x = 198,053,598.40/20,341.76
  6. Step 6: Final answer
    x = 9,736.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.