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Finding the Fourth Proportional to 13,403.68, 18,497.19 and 7,435.74

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Solution

The fourth proportional to 13,403.68, 18,497.19 and 7,435.74 is: 10,261.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,403.68 : 18,497.19 = 7,435.74 : x
  2. Step 2: Convert to fraction form
    13,403.68/18,497.19 = 7,435.74/x
  3. Step 3: Cross multiply
    13,403.68x = 18,497.19 × 7,435.74
  4. Step 4: Simplify right side
    13,403.68x = 137,540,203.08
  5. Step 5: Solve for x
    x = 137,540,203.08/13,403.68
  6. Step 6: Final answer
    x = 10,261.38

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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.