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Finding the Fourth Proportional to 22,513.78, 31,068.15 and 12,956.75

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Solution

The fourth proportional to 22,513.78, 31,068.15 and 12,956.75 is: 17,879.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,513.78 : 31,068.15 = 12,956.75 : x
  2. Step 2: Convert to fraction form
    22,513.78/31,068.15 = 12,956.75/x
  3. Step 3: Cross multiply
    22,513.78x = 31,068.15 × 12,956.75
  4. Step 4: Simplify right side
    22,513.78x = 402,542,252.51
  5. Step 5: Solve for x
    x = 402,542,252.51/22,513.78
  6. Step 6: Final answer
    x = 17,879.82

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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.