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Finding the Fourth Proportional to 13,527.94, 20,296.06 and 6,417.68

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Solution

The fourth proportional to 13,527.94, 20,296.06 and 6,417.68 is: 9,628.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,527.94 : 20,296.06 = 6,417.68 : x
  2. Step 2: Convert to fraction form
    13,527.94/20,296.06 = 6,417.68/x
  3. Step 3: Cross multiply
    13,527.94x = 20,296.06 × 6,417.68
  4. Step 4: Simplify right side
    13,527.94x = 130,253,618.34
  5. Step 5: Solve for x
    x = 130,253,618.34/13,527.94
  6. Step 6: Final answer
    x = 9,628.49

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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.