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Finding the Fourth Proportional to 13,496.51, 20,257.72 and 6,575.87

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Solution

The fourth proportional to 13,496.51, 20,257.72 and 6,575.87 is: 9,870.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,496.51 : 20,257.72 = 6,575.87 : x
  2. Step 2: Convert to fraction form
    13,496.51/20,257.72 = 6,575.87/x
  3. Step 3: Cross multiply
    13,496.51x = 20,257.72 × 6,575.87
  4. Step 4: Simplify right side
    13,496.51x = 133,212,133.22
  5. Step 5: Solve for x
    x = 133,212,133.22/13,496.51
  6. Step 6: Final answer
    x = 9,870.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.