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Finding the Fourth Proportional to 13,310.23, 18,368.58 and 7,342.12

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Solution

The fourth proportional to 13,310.23, 18,368.58 and 7,342.12 is: 10,132.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,310.23 : 18,368.58 = 7,342.12 : x
  2. Step 2: Convert to fraction form
    13,310.23/18,368.58 = 7,342.12/x
  3. Step 3: Cross multiply
    13,310.23x = 18,368.58 × 7,342.12
  4. Step 4: Simplify right side
    13,310.23x = 134,864,318.59
  5. Step 5: Solve for x
    x = 134,864,318.59/13,310.23
  6. Step 6: Final answer
    x = 10,132.38

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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.