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Finding the Fourth Proportional to 27,271.50, 40,865.32 and 16,156.07

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Solution

The fourth proportional to 27,271.50, 40,865.32 and 16,156.07 is: 24,209.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,271.50 : 40,865.32 = 16,156.07 : x
  2. Step 2: Convert to fraction form
    27,271.50/40,865.32 = 16,156.07/x
  3. Step 3: Cross multiply
    27,271.50x = 40,865.32 × 16,156.07
  4. Step 4: Simplify right side
    27,271.50x = 660,222,970.49
  5. Step 5: Solve for x
    x = 660,222,970.49/27,271.50
  6. Step 6: Final answer
    x = 24,209.27

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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.