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Finding the Fourth Proportional to 23,484.60, 32,409.01 and 13,414.38

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Solution

The fourth proportional to 23,484.60, 32,409.01 and 13,414.38 is: 18,511.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,484.60 : 32,409.01 = 13,414.38 : x
  2. Step 2: Convert to fraction form
    23,484.60/32,409.01 = 13,414.38/x
  3. Step 3: Cross multiply
    23,484.60x = 32,409.01 × 13,414.38
  4. Step 4: Simplify right side
    23,484.60x = 434,746,670.80
  5. Step 5: Solve for x
    x = 434,746,670.80/23,484.60
  6. Step 6: Final answer
    x = 18,511.99

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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.