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Finding the Fourth Proportional to 13,298.68, 18,351.16 and 7,330

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Solution

The fourth proportional to 13,298.68, 18,351.16 and 7,330 is: 10,114.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,298.68 : 18,351.16 = 7,330 : x
  2. Step 2: Convert to fraction form
    13,298.68/18,351.16 = 7,330/x
  3. Step 3: Cross multiply
    13,298.68x = 18,351.16 × 7,330
  4. Step 4: Simplify right side
    13,298.68x = 134,514,002.80
  5. Step 5: Solve for x
    x = 134,514,002.80/13,298.68
  6. Step 6: Final answer
    x = 10,114.84

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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.