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Finding the Fourth Proportional to 23,051.52, 31,814.10 and 12,981.90

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Solution

The fourth proportional to 23,051.52, 31,814.10 and 12,981.90 is: 17,916.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,051.52 : 31,814.10 = 12,981.90 : x
  2. Step 2: Convert to fraction form
    23,051.52/31,814.10 = 12,981.90/x
  3. Step 3: Cross multiply
    23,051.52x = 31,814.10 × 12,981.90
  4. Step 4: Simplify right side
    23,051.52x = 413,007,464.79
  5. Step 5: Solve for x
    x = 413,007,464.79/23,051.52
  6. Step 6: Final answer
    x = 17,916.71

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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.