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Finding the Fourth Proportional to 23,898.42, 35,840.43 and 11,412

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Solution

The fourth proportional to 23,898.42, 35,840.43 and 11,412 is: 17,114.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,898.42 : 35,840.43 = 11,412 : x
  2. Step 2: Convert to fraction form
    23,898.42/35,840.43 = 11,412/x
  3. Step 3: Cross multiply
    23,898.42x = 35,840.43 × 11,412
  4. Step 4: Simplify right side
    23,898.42x = 409,010,987.16
  5. Step 5: Solve for x
    x = 409,010,987.16/23,898.42
  6. Step 6: Final answer
    x = 17,114.56

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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.