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Finding the Fourth Proportional to 14,347.98, 21,521.84 and 8,500.38

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Solution

The fourth proportional to 14,347.98, 21,521.84 and 8,500.38 is: 12,750.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,347.98 : 21,521.84 = 8,500.38 : x
  2. Step 2: Convert to fraction form
    14,347.98/21,521.84 = 8,500.38/x
  3. Step 3: Cross multiply
    14,347.98x = 21,521.84 × 8,500.38
  4. Step 4: Simplify right side
    14,347.98x = 182,943,818.30
  5. Step 5: Solve for x
    x = 182,943,818.30/14,347.98
  6. Step 6: Final answer
    x = 12,750.49

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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.