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Finding the Fourth Proportional to 18,263.76, 25,198.64 and 12,302.16

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Solution

The fourth proportional to 18,263.76, 25,198.64 and 12,302.16 is: 16,973.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,263.76 : 25,198.64 = 12,302.16 : x
  2. Step 2: Convert to fraction form
    18,263.76/25,198.64 = 12,302.16/x
  3. Step 3: Cross multiply
    18,263.76x = 25,198.64 × 12,302.16
  4. Step 4: Simplify right side
    18,263.76x = 309,997,701.06
  5. Step 5: Solve for x
    x = 309,997,701.06/18,263.76
  6. Step 6: Final answer
    x = 16,973.38

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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.