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Finding the Fourth Proportional to 18,698.81, 25,802.57 and 10,314.77

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Solution

The fourth proportional to 18,698.81, 25,802.57 and 10,314.77 is: 14,233.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,698.81 : 25,802.57 = 10,314.77 : x
  2. Step 2: Convert to fraction form
    18,698.81/25,802.57 = 10,314.77/x
  3. Step 3: Cross multiply
    18,698.81x = 25,802.57 × 10,314.77
  4. Step 4: Simplify right side
    18,698.81x = 266,147,523.39
  5. Step 5: Solve for x
    x = 266,147,523.39/18,698.81
  6. Step 6: Final answer
    x = 14,233.39

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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.