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Finding the Fourth Proportional to 15,898.64, 23,852.99 and 12,400.63

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Solution

The fourth proportional to 15,898.64, 23,852.99 and 12,400.63 is: 18,604.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,898.64 : 23,852.99 = 12,400.63 : x
  2. Step 2: Convert to fraction form
    15,898.64/23,852.99 = 12,400.63/x
  3. Step 3: Cross multiply
    15,898.64x = 23,852.99 × 12,400.63
  4. Step 4: Simplify right side
    15,898.64x = 295,792,192.82
  5. Step 5: Solve for x
    x = 295,792,192.82/15,898.64
  6. Step 6: Final answer
    x = 18,604.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.