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Finding the Fourth Proportional to 23,363, 32,241.12 and 12,752

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Solution

The fourth proportional to 23,363, 32,241.12 and 12,752 is: 17,597.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,363 : 32,241.12 = 12,752 : x
  2. Step 2: Convert to fraction form
    23,363/32,241.12 = 12,752/x
  3. Step 3: Cross multiply
    23,363x = 32,241.12 × 12,752
  4. Step 4: Simplify right side
    23,363x = 411,138,762.24
  5. Step 5: Solve for x
    x = 411,138,762.24/23,363
  6. Step 6: Final answer
    x = 17,597.86

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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.