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Finding the Fourth Proportional to 12,764.04, 17,623.08 and 10,411.80

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Solution

The fourth proportional to 12,764.04, 17,623.08 and 10,411.80 is: 14,375.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,764.04 : 17,623.08 = 10,411.80 : x
  2. Step 2: Convert to fraction form
    12,764.04/17,623.08 = 10,411.80/x
  3. Step 3: Cross multiply
    12,764.04x = 17,623.08 × 10,411.80
  4. Step 4: Simplify right side
    12,764.04x = 183,487,984.34
  5. Step 5: Solve for x
    x = 183,487,984.34/12,764.04
  6. Step 6: Final answer
    x = 14,375.38

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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.