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Finding the Fourth Proportional to 27,144.72, 40,717.08 and 13,284

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Solution

The fourth proportional to 27,144.72, 40,717.08 and 13,284 is: 19,926

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,144.72 : 40,717.08 = 13,284 : x
  2. Step 2: Convert to fraction form
    27,144.72/40,717.08 = 13,284/x
  3. Step 3: Cross multiply
    27,144.72x = 40,717.08 × 13,284
  4. Step 4: Simplify right side
    27,144.72x = 540,885,690.72
  5. Step 5: Solve for x
    x = 540,885,690.72/27,144.72
  6. Step 6: Final answer
    x = 19,926

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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.