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Finding the Fourth Proportional to 15,486.96, 23,231.98 and 4,954.34

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Solution

The fourth proportional to 15,486.96, 23,231.98 and 4,954.34 is: 7,432.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,486.96 : 23,231.98 = 4,954.34 : x
  2. Step 2: Convert to fraction form
    15,486.96/23,231.98 = 4,954.34/x
  3. Step 3: Cross multiply
    15,486.96x = 23,231.98 × 4,954.34
  4. Step 4: Simplify right side
    15,486.96x = 115,099,127.79
  5. Step 5: Solve for x
    x = 115,099,127.79/15,486.96
  6. Step 6: Final answer
    x = 7,432.00

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Why These Related Problems?

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