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Finding the Fourth Proportional to 13,122.02, 18,106.79 and 7,456.74

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Solution

The fourth proportional to 13,122.02, 18,106.79 and 7,456.74 is: 10,289.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,122.02 : 18,106.79 = 7,456.74 : x
  2. Step 2: Convert to fraction form
    13,122.02/18,106.79 = 7,456.74/x
  3. Step 3: Cross multiply
    13,122.02x = 18,106.79 × 7,456.74
  4. Step 4: Simplify right side
    13,122.02x = 135,017,587.98
  5. Step 5: Solve for x
    x = 135,017,587.98/13,122.02
  6. Step 6: Final answer
    x = 10,289.39

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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.