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Finding the Fourth Proportional to 14,510.40, 20,026.26 and 8,223

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Solution

The fourth proportional to 14,510.40, 20,026.26 and 8,223 is: 11,348.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,510.40 : 20,026.26 = 8,223 : x
  2. Step 2: Convert to fraction form
    14,510.40/20,026.26 = 8,223/x
  3. Step 3: Cross multiply
    14,510.40x = 20,026.26 × 8,223
  4. Step 4: Simplify right side
    14,510.40x = 164,675,935.98
  5. Step 5: Solve for x
    x = 164,675,935.98/14,510.40
  6. Step 6: Final answer
    x = 11,348.82

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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.