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Finding the Fourth Proportional to 12,523.02, 17,281.02 and 6,857.74

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Solution

The fourth proportional to 12,523.02, 17,281.02 and 6,857.74 is: 9,463.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,523.02 : 17,281.02 = 6,857.74 : x
  2. Step 2: Convert to fraction form
    12,523.02/17,281.02 = 6,857.74/x
  3. Step 3: Cross multiply
    12,523.02x = 17,281.02 × 6,857.74
  4. Step 4: Simplify right side
    12,523.02x = 118,508,742.09
  5. Step 5: Solve for x
    x = 118,508,742.09/12,523.02
  6. Step 6: Final answer
    x = 9,463.27

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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.