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Finding the Fourth Proportional to 19,882, 27,437.16 and 11,498.50

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Solution

The fourth proportional to 19,882, 27,437.16 and 11,498.50 is: 15,867.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,882 : 27,437.16 = 11,498.50 : x
  2. Step 2: Convert to fraction form
    19,882/27,437.16 = 11,498.50/x
  3. Step 3: Cross multiply
    19,882x = 27,437.16 × 11,498.50
  4. Step 4: Simplify right side
    19,882x = 315,486,184.26
  5. Step 5: Solve for x
    x = 315,486,184.26/19,882
  6. Step 6: Final answer
    x = 15,867.93

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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.