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Finding the Fourth Proportional to 23,005.56, 31,746.94 and 12,934.44

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Solution

The fourth proportional to 23,005.56, 31,746.94 and 12,934.44 is: 17,849.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,005.56 : 31,746.94 = 12,934.44 : x
  2. Step 2: Convert to fraction form
    23,005.56/31,746.94 = 12,934.44/x
  3. Step 3: Cross multiply
    23,005.56x = 31,746.94 × 12,934.44
  4. Step 4: Simplify right side
    23,005.56x = 410,628,890.61
  5. Step 5: Solve for x
    x = 410,628,890.61/23,005.56
  6. Step 6: Final answer
    x = 17,849.12

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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.