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Finding the Fourth Proportional to 27,534.41, 41,303.32 and 7,814.51

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Solution

The fourth proportional to 27,534.41, 41,303.32 and 7,814.51 is: 11,722.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,534.41 : 41,303.32 = 7,814.51 : x
  2. Step 2: Convert to fraction form
    27,534.41/41,303.32 = 7,814.51/x
  3. Step 3: Cross multiply
    27,534.41x = 41,303.32 × 7,814.51
  4. Step 4: Simplify right side
    27,534.41x = 322,765,207.17
  5. Step 5: Solve for x
    x = 322,765,207.17/27,534.41
  6. Step 6: Final answer
    x = 11,722.25

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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.