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Finding the Fourth Proportional to 19,459.93, 26,854.74 and 11,506.09

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Solution

The fourth proportional to 19,459.93, 26,854.74 and 11,506.09 is: 15,878.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,459.93 : 26,854.74 = 11,506.09 : x
  2. Step 2: Convert to fraction form
    19,459.93/26,854.74 = 11,506.09/x
  3. Step 3: Cross multiply
    19,459.93x = 26,854.74 × 11,506.09
  4. Step 4: Simplify right side
    19,459.93x = 308,993,031.38
  5. Step 5: Solve for x
    x = 308,993,031.38/19,459.93
  6. Step 6: Final answer
    x = 15,878.43

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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.