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Finding the Fourth Proportional to 14,020.92, 19,322.28 and 10,035.09

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Solution

The fourth proportional to 14,020.92, 19,322.28 and 10,035.09 is: 13,829.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,020.92 : 19,322.28 = 10,035.09 : x
  2. Step 2: Convert to fraction form
    14,020.92/19,322.28 = 10,035.09/x
  3. Step 3: Cross multiply
    14,020.92x = 19,322.28 × 10,035.09
  4. Step 4: Simplify right side
    14,020.92x = 193,900,818.81
  5. Step 5: Solve for x
    x = 193,900,818.81/14,020.92
  6. Step 6: Final answer
    x = 13,829.39

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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.