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Finding the Fourth Proportional to 12,532.56, 17,298.76 and 7,813.84

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Solution

The fourth proportional to 12,532.56, 17,298.76 and 7,813.84 is: 10,785.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,532.56 : 17,298.76 = 7,813.84 : x
  2. Step 2: Convert to fraction form
    12,532.56/17,298.76 = 7,813.84/x
  3. Step 3: Cross multiply
    12,532.56x = 17,298.76 × 7,813.84
  4. Step 4: Simplify right side
    12,532.56x = 135,169,742.84
  5. Step 5: Solve for x
    x = 135,169,742.84/12,532.56
  6. Step 6: Final answer
    x = 10,785.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.