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Finding the Fourth Proportional to 18,483.64, 25,507.38 and 10,100.20

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Solution

The fourth proportional to 18,483.64, 25,507.38 and 10,100.20 is: 13,938.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,483.64 : 25,507.38 = 10,100.20 : x
  2. Step 2: Convert to fraction form
    18,483.64/25,507.38 = 10,100.20/x
  3. Step 3: Cross multiply
    18,483.64x = 25,507.38 × 10,100.20
  4. Step 4: Simplify right side
    18,483.64x = 257,629,639.48
  5. Step 5: Solve for x
    x = 257,629,639.48/18,483.64
  6. Step 6: Final answer
    x = 13,938.25

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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.