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Finding the Fourth Proportional to 22,825.70, 31,498.32 and 12,752.14

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Solution

The fourth proportional to 22,825.70, 31,498.32 and 12,752.14 is: 17,597.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,825.70 : 31,498.32 = 12,752.14 : x
  2. Step 2: Convert to fraction form
    22,825.70/31,498.32 = 12,752.14/x
  3. Step 3: Cross multiply
    22,825.70x = 31,498.32 × 12,752.14
  4. Step 4: Simplify right side
    22,825.70x = 401,670,986.40
  5. Step 5: Solve for x
    x = 401,670,986.40/22,825.70
  6. Step 6: Final answer
    x = 17,597.31

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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.