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Finding the Fourth Proportional to 15,403.48, 23,096 and 7,490.43

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Solution

The fourth proportional to 15,403.48, 23,096 and 7,490.43 is: 11,231.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,403.48 : 23,096 = 7,490.43 : x
  2. Step 2: Convert to fraction form
    15,403.48/23,096 = 7,490.43/x
  3. Step 3: Cross multiply
    15,403.48x = 23,096 × 7,490.43
  4. Step 4: Simplify right side
    15,403.48x = 172,998,971.28
  5. Step 5: Solve for x
    x = 172,998,971.28/15,403.48
  6. Step 6: Final answer
    x = 11,231.16

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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.