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Finding the Fourth Proportional to 13,527.69, 20,291.54 and 6,596.25

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Solution

The fourth proportional to 13,527.69, 20,291.54 and 6,596.25 is: 9,894.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,527.69 : 20,291.54 = 6,596.25 : x
  2. Step 2: Convert to fraction form
    13,527.69/20,291.54 = 6,596.25/x
  3. Step 3: Cross multiply
    13,527.69x = 20,291.54 × 6,596.25
  4. Step 4: Simplify right side
    13,527.69x = 133,848,037.74
  5. Step 5: Solve for x
    x = 133,848,037.74/13,527.69
  6. Step 6: Final answer
    x = 9,894.38

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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.