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Finding the Fourth Proportional to 12,523.41, 17,281.92 and 6,857.93

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Solution

The fourth proportional to 12,523.41, 17,281.92 and 6,857.93 is: 9,463.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,523.41 : 17,281.92 = 6,857.93 : x
  2. Step 2: Convert to fraction form
    12,523.41/17,281.92 = 6,857.93/x
  3. Step 3: Cross multiply
    12,523.41x = 17,281.92 × 6,857.93
  4. Step 4: Simplify right side
    12,523.41x = 118,518,111.22
  5. Step 5: Solve for x
    x = 118,518,111.22/12,523.41
  6. Step 6: Final answer
    x = 9,463.73

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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.