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Finding the Fourth Proportional to 27,297.16, 40,955.76 and 11,506.17

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Solution

The fourth proportional to 27,297.16, 40,955.76 and 11,506.17 is: 17,263.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,297.16 : 40,955.76 = 11,506.17 : x
  2. Step 2: Convert to fraction form
    27,297.16/40,955.76 = 11,506.17/x
  3. Step 3: Cross multiply
    27,297.16x = 40,955.76 × 11,506.17
  4. Step 4: Simplify right side
    27,297.16x = 471,243,937.04
  5. Step 5: Solve for x
    x = 471,243,937.04/27,297.16
  6. Step 6: Final answer
    x = 17,263.48

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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.