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Finding the Fourth Proportional to 22,880.29, 31,574.81 and 12,808.75

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Solution

The fourth proportional to 22,880.29, 31,574.81 and 12,808.75 is: 17,676.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,880.29 : 31,574.81 = 12,808.75 : x
  2. Step 2: Convert to fraction form
    22,880.29/31,574.81 = 12,808.75/x
  3. Step 3: Cross multiply
    22,880.29x = 31,574.81 × 12,808.75
  4. Step 4: Simplify right side
    22,880.29x = 404,433,800.67
  5. Step 5: Solve for x
    x = 404,433,800.67/22,880.29
  6. Step 6: Final answer
    x = 17,676.08

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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.