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Finding the Fourth Proportional to 23,522.48, 32,460.89 and 12,911.88

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Solution

The fourth proportional to 23,522.48, 32,460.89 and 12,911.88 is: 17,818.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,522.48 : 32,460.89 = 12,911.88 : x
  2. Step 2: Convert to fraction form
    23,522.48/32,460.89 = 12,911.88/x
  3. Step 3: Cross multiply
    23,522.48x = 32,460.89 × 12,911.88
  4. Step 4: Simplify right side
    23,522.48x = 419,131,051.81
  5. Step 5: Solve for x
    x = 419,131,051.81/23,522.48
  6. Step 6: Final answer
    x = 17,818.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.