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Finding the Fourth Proportional to 13,753.02, 18,978.93 and 7,465.26

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Solution

The fourth proportional to 13,753.02, 18,978.93 and 7,465.26 is: 10,301.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,753.02 : 18,978.93 = 7,465.26 : x
  2. Step 2: Convert to fraction form
    13,753.02/18,978.93 = 7,465.26/x
  3. Step 3: Cross multiply
    13,753.02x = 18,978.93 × 7,465.26
  4. Step 4: Simplify right side
    13,753.02x = 141,682,646.97
  5. Step 5: Solve for x
    x = 141,682,646.97/13,753.02
  6. Step 6: Final answer
    x = 10,301.93

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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.