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Finding the Fourth Proportional to 27,146.16, 40,717.88 and 7,424.32

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Solution

The fourth proportional to 27,146.16, 40,717.88 and 7,424.32 is: 11,136.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,146.16 : 40,717.88 = 7,424.32 : x
  2. Step 2: Convert to fraction form
    27,146.16/40,717.88 = 7,424.32/x
  3. Step 3: Cross multiply
    27,146.16x = 40,717.88 × 7,424.32
  4. Step 4: Simplify right side
    27,146.16x = 302,302,570.84
  5. Step 5: Solve for x
    x = 302,302,570.84/27,146.16
  6. Step 6: Final answer
    x = 11,136.11

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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.