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Finding the Fourth Proportional to 22,507.57, 31,059.49 and 12,946.74

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Solution

The fourth proportional to 22,507.57, 31,059.49 and 12,946.74 is: 17,865.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,507.57 : 31,059.49 = 12,946.74 : x
  2. Step 2: Convert to fraction form
    22,507.57/31,059.49 = 12,946.74/x
  3. Step 3: Cross multiply
    22,507.57x = 31,059.49 × 12,946.74
  4. Step 4: Simplify right side
    22,507.57x = 402,119,141.56
  5. Step 5: Solve for x
    x = 402,119,141.56/22,507.57
  6. Step 6: Final answer
    x = 17,865.95

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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.