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Finding the Fourth Proportional to 27,544.32, 41,307.84 and 9,072

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Solution

The fourth proportional to 27,544.32, 41,307.84 and 9,072 is: 13,605.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,544.32 : 41,307.84 = 9,072 : x
  2. Step 2: Convert to fraction form
    27,544.32/41,307.84 = 9,072/x
  3. Step 3: Cross multiply
    27,544.32x = 41,307.84 × 9,072
  4. Step 4: Simplify right side
    27,544.32x = 374,744,724.48
  5. Step 5: Solve for x
    x = 374,744,724.48/27,544.32
  6. Step 6: Final answer
    x = 13,605.15

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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.