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Finding the Fourth Proportional to 22,516.78, 31,072.28 and 12,959.74

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Solution

The fourth proportional to 22,516.78, 31,072.28 and 12,959.74 is: 17,883.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,516.78 : 31,072.28 = 12,959.74 : x
  2. Step 2: Convert to fraction form
    22,516.78/31,072.28 = 12,959.74/x
  3. Step 3: Cross multiply
    22,516.78x = 31,072.28 × 12,959.74
  4. Step 4: Simplify right side
    22,516.78x = 402,688,670.01
  5. Step 5: Solve for x
    x = 402,688,670.01/22,516.78
  6. Step 6: Final answer
    x = 17,883.94

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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.