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Finding the Fourth Proportional to 27,158.56, 40,715.93 and 9,618.82

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Solution

The fourth proportional to 27,158.56, 40,715.93 and 9,618.82 is: 14,420.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,158.56 : 40,715.93 = 9,618.82 : x
  2. Step 2: Convert to fraction form
    27,158.56/40,715.93 = 9,618.82/x
  3. Step 3: Cross multiply
    27,158.56x = 40,715.93 × 9,618.82
  4. Step 4: Simplify right side
    27,158.56x = 391,639,124.06
  5. Step 5: Solve for x
    x = 391,639,124.06/27,158.56
  6. Step 6: Final answer
    x = 14,420.47

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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.