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Finding the Fourth Proportional to 22,724.78, 31,360.28 and 12,653.19

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Solution

The fourth proportional to 22,724.78, 31,360.28 and 12,653.19 is: 17,461.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,724.78 : 31,360.28 = 12,653.19 : x
  2. Step 2: Convert to fraction form
    22,724.78/31,360.28 = 12,653.19/x
  3. Step 3: Cross multiply
    22,724.78x = 31,360.28 × 12,653.19
  4. Step 4: Simplify right side
    22,724.78x = 396,807,518.03
  5. Step 5: Solve for x
    x = 396,807,518.03/22,724.78
  6. Step 6: Final answer
    x = 17,461.45

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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.