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Finding the Fourth Proportional to 27,643.28, 41,473 and 8,922.88

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Solution

The fourth proportional to 27,643.28, 41,473 and 8,922.88 is: 13,386.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,643.28 : 41,473 = 8,922.88 : x
  2. Step 2: Convert to fraction form
    27,643.28/41,473 = 8,922.88/x
  3. Step 3: Cross multiply
    27,643.28x = 41,473 × 8,922.88
  4. Step 4: Simplify right side
    27,643.28x = 370,058,602.24
  5. Step 5: Solve for x
    x = 370,058,602.24/27,643.28
  6. Step 6: Final answer
    x = 13,386.93

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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.