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Finding the Fourth Proportional to 13,301.96, 19,952.74 and 4,543

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Solution

The fourth proportional to 13,301.96, 19,952.74 and 4,543 is: 6,814.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,301.96 : 19,952.74 = 4,543 : x
  2. Step 2: Convert to fraction form
    13,301.96/19,952.74 = 4,543/x
  3. Step 3: Cross multiply
    13,301.96x = 19,952.74 × 4,543
  4. Step 4: Simplify right side
    13,301.96x = 90,645,297.82
  5. Step 5: Solve for x
    x = 90,645,297.82/13,301.96
  6. Step 6: Final answer
    x = 6,814.43

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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.