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Finding the Fourth Proportional to 22,758.49, 31,407.78 and 12,687.01

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Solution

The fourth proportional to 22,758.49, 31,407.78 and 12,687.01 is: 17,508.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,758.49 : 31,407.78 = 12,687.01 : x
  2. Step 2: Convert to fraction form
    22,758.49/31,407.78 = 12,687.01/x
  3. Step 3: Cross multiply
    22,758.49x = 31,407.78 × 12,687.01
  4. Step 4: Simplify right side
    22,758.49x = 398,470,818.94
  5. Step 5: Solve for x
    x = 398,470,818.94/22,758.49
  6. Step 6: Final answer
    x = 17,508.67

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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.