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Finding the Fourth Proportional to 27,647.10, 41,441.04 and 14,306.64

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Solution

The fourth proportional to 27,647.10, 41,441.04 and 14,306.64 is: 21,444.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,647.10 : 41,441.04 = 14,306.64 : x
  2. Step 2: Convert to fraction form
    27,647.10/41,441.04 = 14,306.64/x
  3. Step 3: Cross multiply
    27,647.10x = 41,441.04 × 14,306.64
  4. Step 4: Simplify right side
    27,647.10x = 592,882,040.51
  5. Step 5: Solve for x
    x = 592,882,040.51/27,647.10
  6. Step 6: Final answer
    x = 21,444.64

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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.