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Finding the Fourth Proportional to 17,090.40, 25,618 and 10,854.96

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Solution

The fourth proportional to 17,090.40, 25,618 and 10,854.96 is: 16,271.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,090.40 : 25,618 = 10,854.96 : x
  2. Step 2: Convert to fraction form
    17,090.40/25,618 = 10,854.96/x
  3. Step 3: Cross multiply
    17,090.40x = 25,618 × 10,854.96
  4. Step 4: Simplify right side
    17,090.40x = 278,082,365.28
  5. Step 5: Solve for x
    x = 278,082,365.28/17,090.40
  6. Step 6: Final answer
    x = 16,271.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.