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Finding the Fourth Proportional to 23,484.10, 32,407.98 and 12,729.30

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Solution

The fourth proportional to 23,484.10, 32,407.98 and 12,729.30 is: 17,566.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,484.10 : 32,407.98 = 12,729.30 : x
  2. Step 2: Convert to fraction form
    23,484.10/32,407.98 = 12,729.30/x
  3. Step 3: Cross multiply
    23,484.10x = 32,407.98 × 12,729.30
  4. Step 4: Simplify right side
    23,484.10x = 412,530,899.81
  5. Step 5: Solve for x
    x = 412,530,899.81/23,484.10
  6. Step 6: Final answer
    x = 17,566.39

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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.