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Finding the Fourth Proportional to 23,055.78, 31,815.52 and 12,983.63

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Solution

The fourth proportional to 23,055.78, 31,815.52 and 12,983.63 is: 17,916.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,055.78 : 31,815.52 = 12,983.63 : x
  2. Step 2: Convert to fraction form
    23,055.78/31,815.52 = 12,983.63/x
  3. Step 3: Cross multiply
    23,055.78x = 31,815.52 × 12,983.63
  4. Step 4: Simplify right side
    23,055.78x = 413,080,939.94
  5. Step 5: Solve for x
    x = 413,080,939.94/23,055.78
  6. Step 6: Final answer
    x = 17,916.59

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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.