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Finding the Fourth Proportional to 23,010.64, 31,754.05 and 12,938.82

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Solution

The fourth proportional to 23,010.64, 31,754.05 and 12,938.82 is: 17,855.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,010.64 : 31,754.05 = 12,938.82 : x
  2. Step 2: Convert to fraction form
    23,010.64/31,754.05 = 12,938.82/x
  3. Step 3: Cross multiply
    23,010.64x = 31,754.05 × 12,938.82
  4. Step 4: Simplify right side
    23,010.64x = 410,860,037.19
  5. Step 5: Solve for x
    x = 410,860,037.19/23,010.64
  6. Step 6: Final answer
    x = 17,855.22

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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.