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Finding the Fourth Proportional to 16,527.71, 24,770.50 and 7,743.26

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Solution

The fourth proportional to 16,527.71, 24,770.50 and 7,743.26 is: 11,605.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,527.71 : 24,770.50 = 7,743.26 : x
  2. Step 2: Convert to fraction form
    16,527.71/24,770.50 = 7,743.26/x
  3. Step 3: Cross multiply
    16,527.71x = 24,770.50 × 7,743.26
  4. Step 4: Simplify right side
    16,527.71x = 191,804,259.26
  5. Step 5: Solve for x
    x = 191,804,259.26/16,527.71
  6. Step 6: Final answer
    x = 11,605.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.