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Finding the Fourth Proportional to 18,768, 25,900.02 and 10,384.68

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Solution

The fourth proportional to 18,768, 25,900.02 and 10,384.68 is: 14,330.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,768 : 25,900.02 = 10,384.68 : x
  2. Step 2: Convert to fraction form
    18,768/25,900.02 = 10,384.68/x
  3. Step 3: Cross multiply
    18,768x = 25,900.02 × 10,384.68
  4. Step 4: Simplify right side
    18,768x = 268,963,419.69
  5. Step 5: Solve for x
    x = 268,963,419.69/18,768
  6. Step 6: Final answer
    x = 14,330.96

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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.