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Finding the Fourth Proportional to 22,653.16, 31,260.30 and 12,582.24

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Solution

The fourth proportional to 22,653.16, 31,260.30 and 12,582.24 is: 17,362.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,653.16 : 31,260.30 = 12,582.24 : x
  2. Step 2: Convert to fraction form
    22,653.16/31,260.30 = 12,582.24/x
  3. Step 3: Cross multiply
    22,653.16x = 31,260.30 × 12,582.24
  4. Step 4: Simplify right side
    22,653.16x = 393,324,597.07
  5. Step 5: Solve for x
    x = 393,324,597.07/22,653.16
  6. Step 6: Final answer
    x = 17,362.90

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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.