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Finding the Fourth Proportional to 19,711.86, 29,551.80 and 13,456.11

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Solution

The fourth proportional to 19,711.86, 29,551.80 and 13,456.11 is: 20,173.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,711.86 : 29,551.80 = 13,456.11 : x
  2. Step 2: Convert to fraction form
    19,711.86/29,551.80 = 13,456.11/x
  3. Step 3: Cross multiply
    19,711.86x = 29,551.80 × 13,456.11
  4. Step 4: Simplify right side
    19,711.86x = 397,652,271.50
  5. Step 5: Solve for x
    x = 397,652,271.50/19,711.86
  6. Step 6: Final answer
    x = 20,173.25

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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.