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Finding the Fourth Proportional to 13,598.10, 18,768.63 and 8,295.78

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Solution

The fourth proportional to 13,598.10, 18,768.63 and 8,295.78 is: 11,450.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,598.10 : 18,768.63 = 8,295.78 : x
  2. Step 2: Convert to fraction form
    13,598.10/18,768.63 = 8,295.78/x
  3. Step 3: Cross multiply
    13,598.10x = 18,768.63 × 8,295.78
  4. Step 4: Simplify right side
    13,598.10x = 155,700,425.38
  5. Step 5: Solve for x
    x = 155,700,425.38/13,598.10
  6. Step 6: Final answer
    x = 11,450.16

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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.