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Finding the Fourth Proportional to 23,504.36, 32,435.80 and 12,894

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Solution

The fourth proportional to 23,504.36, 32,435.80 and 12,894 is: 17,793.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,504.36 : 32,435.80 = 12,894 : x
  2. Step 2: Convert to fraction form
    23,504.36/32,435.80 = 12,894/x
  3. Step 3: Cross multiply
    23,504.36x = 32,435.80 × 12,894
  4. Step 4: Simplify right side
    23,504.36x = 418,227,205.20
  5. Step 5: Solve for x
    x = 418,227,205.20/23,504.36
  6. Step 6: Final answer
    x = 17,793.60

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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.