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Finding the Fourth Proportional to 19,927.30, 27,498.62 and 11,428.98

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Solution

The fourth proportional to 19,927.30, 27,498.62 and 11,428.98 is: 15,771.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,927.30 : 27,498.62 = 11,428.98 : x
  2. Step 2: Convert to fraction form
    19,927.30/27,498.62 = 11,428.98/x
  3. Step 3: Cross multiply
    19,927.30x = 27,498.62 × 11,428.98
  4. Step 4: Simplify right side
    19,927.30x = 314,281,178.01
  5. Step 5: Solve for x
    x = 314,281,178.01/19,927.30
  6. Step 6: Final answer
    x = 15,771.39

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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.