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Finding the Fourth Proportional to 27,434.71, 41,143.93 and 11,639.53

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Solution

The fourth proportional to 27,434.71, 41,143.93 and 11,639.53 is: 17,455.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,434.71 : 41,143.93 = 11,639.53 : x
  2. Step 2: Convert to fraction form
    27,434.71/41,143.93 = 11,639.53/x
  3. Step 3: Cross multiply
    27,434.71x = 41,143.93 × 11,639.53
  4. Step 4: Simplify right side
    27,434.71x = 478,896,007.55
  5. Step 5: Solve for x
    x = 478,896,007.55/27,434.71
  6. Step 6: Final answer
    x = 17,455.84

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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.