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Finding the Fourth Proportional to 22,817.64, 31,488.01 and 12,746.23

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Solution

The fourth proportional to 22,817.64, 31,488.01 and 12,746.23 is: 17,589.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,817.64 : 31,488.01 = 12,746.23 : x
  2. Step 2: Convert to fraction form
    22,817.64/31,488.01 = 12,746.23/x
  3. Step 3: Cross multiply
    22,817.64x = 31,488.01 × 12,746.23
  4. Step 4: Simplify right side
    22,817.64x = 401,353,417.70
  5. Step 5: Solve for x
    x = 401,353,417.70/22,817.64
  6. Step 6: Final answer
    x = 17,589.61

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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.