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Finding the Fourth Proportional to 13,233.84, 19,835.64 and 5,433

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Solution

The fourth proportional to 13,233.84, 19,835.64 and 5,433 is: 8,143.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,233.84 : 19,835.64 = 5,433 : x
  2. Step 2: Convert to fraction form
    13,233.84/19,835.64 = 5,433/x
  3. Step 3: Cross multiply
    13,233.84x = 19,835.64 × 5,433
  4. Step 4: Simplify right side
    13,233.84x = 107,767,032.12
  5. Step 5: Solve for x
    x = 107,767,032.12/13,233.84
  6. Step 6: Final answer
    x = 8,143.29

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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.