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Finding the Fourth Proportional to 13,405.14, 18,497.61 and 7,435.32

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Solution

The fourth proportional to 13,405.14, 18,497.61 and 7,435.32 is: 10,259.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,405.14 : 18,497.61 = 7,435.32 : x
  2. Step 2: Convert to fraction form
    13,405.14/18,497.61 = 7,435.32/x
  3. Step 3: Cross multiply
    13,405.14x = 18,497.61 × 7,435.32
  4. Step 4: Simplify right side
    13,405.14x = 137,535,649.59
  5. Step 5: Solve for x
    x = 137,535,649.59/13,405.14
  6. Step 6: Final answer
    x = 10,259.92

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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.