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Finding the Fourth Proportional to 13,185.42, 18,196.32 and 7,521

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Solution

The fourth proportional to 13,185.42, 18,196.32 and 7,521 is: 10,379.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,185.42 : 18,196.32 = 7,521 : x
  2. Step 2: Convert to fraction form
    13,185.42/18,196.32 = 7,521/x
  3. Step 3: Cross multiply
    13,185.42x = 18,196.32 × 7,521
  4. Step 4: Simplify right side
    13,185.42x = 136,854,522.72
  5. Step 5: Solve for x
    x = 136,854,522.72/13,185.42
  6. Step 6: Final answer
    x = 10,379.23

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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.