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Finding the Fourth Proportional to 14,420, 19,901.76 and 8,834.24

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Solution

The fourth proportional to 14,420, 19,901.76 and 8,834.24 is: 12,192.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,420 : 19,901.76 = 8,834.24 : x
  2. Step 2: Convert to fraction form
    14,420/19,901.76 = 8,834.24/x
  3. Step 3: Cross multiply
    14,420x = 19,901.76 × 8,834.24
  4. Step 4: Simplify right side
    14,420x = 175,816,924.26
  5. Step 5: Solve for x
    x = 175,816,924.26/14,420
  6. Step 6: Final answer
    x = 12,192.57

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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.