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Finding the Fourth Proportional to 13,299.68, 18,354.65 and 7,332

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Solution

The fourth proportional to 13,299.68, 18,354.65 and 7,332 is: 10,118.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,299.68 : 18,354.65 = 7,332 : x
  2. Step 2: Convert to fraction form
    13,299.68/18,354.65 = 7,332/x
  3. Step 3: Cross multiply
    13,299.68x = 18,354.65 × 7,332
  4. Step 4: Simplify right side
    13,299.68x = 134,576,257.14
  5. Step 5: Solve for x
    x = 134,576,257.14/13,299.68
  6. Step 6: Final answer
    x = 10,118.76

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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.