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Finding the Fourth Proportional to 13,021.64, 17,971.62 and 7,433

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Solution

The fourth proportional to 13,021.64, 17,971.62 and 7,433 is: 10,258.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,021.64 : 17,971.62 = 7,433 : x
  2. Step 2: Convert to fraction form
    13,021.64/17,971.62 = 7,433/x
  3. Step 3: Cross multiply
    13,021.64x = 17,971.62 × 7,433
  4. Step 4: Simplify right side
    13,021.64x = 133,583,051.46
  5. Step 5: Solve for x
    x = 133,583,051.46/13,021.64
  6. Step 6: Final answer
    x = 10,258.54

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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.