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Finding the Fourth Proportional to 18,324, 25,284.24 and 10,363.68

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Solution

The fourth proportional to 18,324, 25,284.24 and 10,363.68 is: 14,300.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,324 : 25,284.24 = 10,363.68 : x
  2. Step 2: Convert to fraction form
    18,324/25,284.24 = 10,363.68/x
  3. Step 3: Cross multiply
    18,324x = 25,284.24 × 10,363.68
  4. Step 4: Simplify right side
    18,324x = 262,037,772.40
  5. Step 5: Solve for x
    x = 262,037,772.40/18,324
  6. Step 6: Final answer
    x = 14,300.25

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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.