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Finding the Fourth Proportional to 23,263.93, 32,103.87 and 12,653.32

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Solution

The fourth proportional to 23,263.93, 32,103.87 and 12,653.32 is: 17,461.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,263.93 : 32,103.87 = 12,653.32 : x
  2. Step 2: Convert to fraction form
    23,263.93/32,103.87 = 12,653.32/x
  3. Step 3: Cross multiply
    23,263.93x = 32,103.87 × 12,653.32
  4. Step 4: Simplify right side
    23,263.93x = 406,220,540.35
  5. Step 5: Solve for x
    x = 406,220,540.35/23,263.93
  6. Step 6: Final answer
    x = 17,461.39

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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.