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Finding the Fourth Proportional to 14,384.80, 21,580.28 and 8,147.76

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Solution

The fourth proportional to 14,384.80, 21,580.28 and 8,147.76 is: 12,223.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,384.80 : 21,580.28 = 8,147.76 : x
  2. Step 2: Convert to fraction form
    14,384.80/21,580.28 = 8,147.76/x
  3. Step 3: Cross multiply
    14,384.80x = 21,580.28 × 8,147.76
  4. Step 4: Simplify right side
    14,384.80x = 175,830,942.17
  5. Step 5: Solve for x
    x = 175,830,942.17/14,384.80
  6. Step 6: Final answer
    x = 12,223.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.