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Finding the Fourth Proportional to 27,485.32, 41,232.54 and 9,013

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Solution

The fourth proportional to 27,485.32, 41,232.54 and 9,013 is: 13,521.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,485.32 : 41,232.54 = 9,013 : x
  2. Step 2: Convert to fraction form
    27,485.32/41,232.54 = 9,013/x
  3. Step 3: Cross multiply
    27,485.32x = 41,232.54 × 9,013
  4. Step 4: Simplify right side
    27,485.32x = 371,628,883.02
  5. Step 5: Solve for x
    x = 371,628,883.02/27,485.32
  6. Step 6: Final answer
    x = 13,521.00

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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.