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Finding the Fourth Proportional to 18,697.71, 25,802.43 and 10,314.21

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Solution

The fourth proportional to 18,697.71, 25,802.43 and 10,314.21 is: 14,233.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,697.71 : 25,802.43 = 10,314.21 : x
  2. Step 2: Convert to fraction form
    18,697.71/25,802.43 = 10,314.21/x
  3. Step 3: Cross multiply
    18,697.71x = 25,802.43 × 10,314.21
  4. Step 4: Simplify right side
    18,697.71x = 266,131,681.53
  5. Step 5: Solve for x
    x = 266,131,681.53/18,697.71
  6. Step 6: Final answer
    x = 14,233.38

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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.