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Finding the Fourth Proportional to 13,215.80, 19,805.70 and 8,521.40

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Solution

The fourth proportional to 13,215.80, 19,805.70 and 8,521.40 is: 12,770.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,215.80 : 19,805.70 = 8,521.40 : x
  2. Step 2: Convert to fraction form
    13,215.80/19,805.70 = 8,521.40/x
  3. Step 3: Cross multiply
    13,215.80x = 19,805.70 × 8,521.40
  4. Step 4: Simplify right side
    13,215.80x = 168,772,291.98
  5. Step 5: Solve for x
    x = 168,772,291.98/13,215.80
  6. Step 6: Final answer
    x = 12,770.49

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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.