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Finding the Fourth Proportional to 22,825.86, 31,497.03 and 12,754.32

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Solution

The fourth proportional to 22,825.86, 31,497.03 and 12,754.32 is: 17,599.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,825.86 : 31,497.03 = 12,754.32 : x
  2. Step 2: Convert to fraction form
    22,825.86/31,497.03 = 12,754.32/x
  3. Step 3: Cross multiply
    22,825.86x = 31,497.03 × 12,754.32
  4. Step 4: Simplify right side
    22,825.86x = 401,723,199.67
  5. Step 5: Solve for x
    x = 401,723,199.67/22,825.86
  6. Step 6: Final answer
    x = 17,599.48

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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.