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Finding the Fourth Proportional to 18,416, 25,414.36 and 10,032.50

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Solution

The fourth proportional to 18,416, 25,414.36 and 10,032.50 is: 13,845.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,416 : 25,414.36 = 10,032.50 : x
  2. Step 2: Convert to fraction form
    18,416/25,414.36 = 10,032.50/x
  3. Step 3: Cross multiply
    18,416x = 25,414.36 × 10,032.50
  4. Step 4: Simplify right side
    18,416x = 254,969,566.70
  5. Step 5: Solve for x
    x = 254,969,566.70/18,416
  6. Step 6: Final answer
    x = 13,845.00

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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.