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Finding the Fourth Proportional to 21,566.49, 29,762.70 and 12,135.03

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Solution

The fourth proportional to 21,566.49, 29,762.70 and 12,135.03 is: 16,746.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,566.49 : 29,762.70 = 12,135.03 : x
  2. Step 2: Convert to fraction form
    21,566.49/29,762.70 = 12,135.03/x
  3. Step 3: Cross multiply
    21,566.49x = 29,762.70 × 12,135.03
  4. Step 4: Simplify right side
    21,566.49x = 361,171,257.38
  5. Step 5: Solve for x
    x = 361,171,257.38/21,566.49
  6. Step 6: Final answer
    x = 16,746.87

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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.