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Finding the Fourth Proportional to 13,402.69, 18,496.76 and 7,435.51

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Solution

The fourth proportional to 13,402.69, 18,496.76 and 7,435.51 is: 10,261.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402.69 : 18,496.76 = 7,435.51 : x
  2. Step 2: Convert to fraction form
    13,402.69/18,496.76 = 7,435.51/x
  3. Step 3: Cross multiply
    13,402.69x = 18,496.76 × 7,435.51
  4. Step 4: Simplify right side
    13,402.69x = 137,532,760.53
  5. Step 5: Solve for x
    x = 137,532,760.53/13,402.69
  6. Step 6: Final answer
    x = 10,261.58

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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.