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Finding the Fourth Proportional to 18,646.33, 25,729.90 and 10,261.21

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Solution

The fourth proportional to 18,646.33, 25,729.90 and 10,261.21 is: 14,159.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,646.33 : 25,729.90 = 10,261.21 : x
  2. Step 2: Convert to fraction form
    18,646.33/25,729.90 = 10,261.21/x
  3. Step 3: Cross multiply
    18,646.33x = 25,729.90 × 10,261.21
  4. Step 4: Simplify right side
    18,646.33x = 264,019,907.18
  5. Step 5: Solve for x
    x = 264,019,907.18/18,646.33
  6. Step 6: Final answer
    x = 14,159.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.