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Finding the Fourth Proportional to 16,443.82, 24,686.50 and 13,153.07

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Solution

The fourth proportional to 16,443.82, 24,686.50 and 13,153.07 is: 19,746.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,443.82 : 24,686.50 = 13,153.07 : x
  2. Step 2: Convert to fraction form
    16,443.82/24,686.50 = 13,153.07/x
  3. Step 3: Cross multiply
    16,443.82x = 24,686.50 × 13,153.07
  4. Step 4: Simplify right side
    16,443.82x = 324,703,262.56
  5. Step 5: Solve for x
    x = 324,703,262.56/16,443.82
  6. Step 6: Final answer
    x = 19,746.22

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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.