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Finding the Fourth Proportional to 18,412.68, 25,410 and 10,454.40

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Solution

The fourth proportional to 18,412.68, 25,410 and 10,454.40 is: 14,427.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,412.68 : 25,410 = 10,454.40 : x
  2. Step 2: Convert to fraction form
    18,412.68/25,410 = 10,454.40/x
  3. Step 3: Cross multiply
    18,412.68x = 25,410 × 10,454.40
  4. Step 4: Simplify right side
    18,412.68x = 265,646,304
  5. Step 5: Solve for x
    x = 265,646,304/18,412.68
  6. Step 6: Final answer
    x = 14,427.36

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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.