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Finding the Fourth Proportional to 13,434.01, 18,538.37 and 7,465.63

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Solution

The fourth proportional to 13,434.01, 18,538.37 and 7,465.63 is: 10,302.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,434.01 : 18,538.37 = 7,465.63 : x
  2. Step 2: Convert to fraction form
    13,434.01/18,538.37 = 7,465.63/x
  3. Step 3: Cross multiply
    13,434.01x = 18,538.37 × 7,465.63
  4. Step 4: Simplify right side
    13,434.01x = 138,400,611.22
  5. Step 5: Solve for x
    x = 138,400,611.22/13,434.01
  6. Step 6: Final answer
    x = 10,302.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.