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Finding the Fourth Proportional to 19,811.34, 27,339.87 and 10,858.65

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Solution

The fourth proportional to 19,811.34, 27,339.87 and 10,858.65 is: 14,985.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,811.34 : 27,339.87 = 10,858.65 : x
  2. Step 2: Convert to fraction form
    19,811.34/27,339.87 = 10,858.65/x
  3. Step 3: Cross multiply
    19,811.34x = 27,339.87 × 10,858.65
  4. Step 4: Simplify right side
    19,811.34x = 296,874,079.38
  5. Step 5: Solve for x
    x = 296,874,079.38/19,811.34
  6. Step 6: Final answer
    x = 14,985.06

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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.