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Finding the Fourth Proportional to 18,534.16, 25,577.19 and 10,036.38

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Solution

The fourth proportional to 18,534.16, 25,577.19 and 10,036.38 is: 13,850.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,534.16 : 25,577.19 = 10,036.38 : x
  2. Step 2: Convert to fraction form
    18,534.16/25,577.19 = 10,036.38/x
  3. Step 3: Cross multiply
    18,534.16x = 25,577.19 × 10,036.38
  4. Step 4: Simplify right side
    18,534.16x = 256,702,398.17
  5. Step 5: Solve for x
    x = 256,702,398.17/18,534.16
  6. Step 6: Final answer
    x = 13,850.23

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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.