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Finding the Fourth Proportional to 14,389.60, 19,857.27 and 8,101.84

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Solution

The fourth proportional to 14,389.60, 19,857.27 and 8,101.84 is: 11,180.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,389.60 : 19,857.27 = 8,101.84 : x
  2. Step 2: Convert to fraction form
    14,389.60/19,857.27 = 8,101.84/x
  3. Step 3: Cross multiply
    14,389.60x = 19,857.27 × 8,101.84
  4. Step 4: Simplify right side
    14,389.60x = 160,880,424.38
  5. Step 5: Solve for x
    x = 160,880,424.38/14,389.60
  6. Step 6: Final answer
    x = 11,180.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.