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Finding the Fourth Proportional to 13,310.16, 18,368.12 and 7,342

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Solution

The fourth proportional to 13,310.16, 18,368.12 and 7,342 is: 10,132.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,310.16 : 18,368.12 = 7,342 : x
  2. Step 2: Convert to fraction form
    13,310.16/18,368.12 = 7,342/x
  3. Step 3: Cross multiply
    13,310.16x = 18,368.12 × 7,342
  4. Step 4: Simplify right side
    13,310.16x = 134,858,737.04
  5. Step 5: Solve for x
    x = 134,858,737.04/13,310.16
  6. Step 6: Final answer
    x = 10,132.01

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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.