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Finding the Fourth Proportional to 27,154.50, 40,731.72 and 7,434.60

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Solution

The fourth proportional to 27,154.50, 40,731.72 and 7,434.60 is: 11,151.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,154.50 : 40,731.72 = 7,434.60 : x
  2. Step 2: Convert to fraction form
    27,154.50/40,731.72 = 7,434.60/x
  3. Step 3: Cross multiply
    27,154.50x = 40,731.72 × 7,434.60
  4. Step 4: Simplify right side
    27,154.50x = 302,824,045.51
  5. Step 5: Solve for x
    x = 302,824,045.51/27,154.50
  6. Step 6: Final answer
    x = 11,151.89

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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.