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Finding the Fourth Proportional to 15,341.54, 22,997.70 and 4,946

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Solution

The fourth proportional to 15,341.54, 22,997.70 and 4,946 is: 7,414.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,341.54 : 22,997.70 = 4,946 : x
  2. Step 2: Convert to fraction form
    15,341.54/22,997.70 = 4,946/x
  3. Step 3: Cross multiply
    15,341.54x = 22,997.70 × 4,946
  4. Step 4: Simplify right side
    15,341.54x = 113,746,624.20
  5. Step 5: Solve for x
    x = 113,746,624.20/15,341.54
  6. Step 6: Final answer
    x = 7,414.29

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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.