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Finding the Fourth Proportional to 13,403.32, 18,496.26 and 7,435

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Solution

The fourth proportional to 13,403.32, 18,496.26 and 7,435 is: 10,260.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,403.32 : 18,496.26 = 7,435 : x
  2. Step 2: Convert to fraction form
    13,403.32/18,496.26 = 7,435/x
  3. Step 3: Cross multiply
    13,403.32x = 18,496.26 × 7,435
  4. Step 4: Simplify right side
    13,403.32x = 137,519,693.10
  5. Step 5: Solve for x
    x = 137,519,693.10/13,403.32
  6. Step 6: Final answer
    x = 10,260.12

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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.