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Finding the Fourth Proportional to 13,099.23, 18,077.40 and 7,434

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Solution

The fourth proportional to 13,099.23, 18,077.40 and 7,434 is: 10,259.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,099.23 : 18,077.40 = 7,434 : x
  2. Step 2: Convert to fraction form
    13,099.23/18,077.40 = 7,434/x
  3. Step 3: Cross multiply
    13,099.23x = 18,077.40 × 7,434
  4. Step 4: Simplify right side
    13,099.23x = 134,387,391.60
  5. Step 5: Solve for x
    x = 134,387,391.60/13,099.23
  6. Step 6: Final answer
    x = 10,259.18

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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.