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Finding the Fourth Proportional to 23,472, 32,408.64 and 16,007.04

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Solution

The fourth proportional to 23,472, 32,408.64 and 16,007.04 is: 22,101.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,472 : 32,408.64 = 16,007.04 : x
  2. Step 2: Convert to fraction form
    23,472/32,408.64 = 16,007.04/x
  3. Step 3: Cross multiply
    23,472x = 32,408.64 × 16,007.04
  4. Step 4: Simplify right side
    23,472x = 518,766,396.83
  5. Step 5: Solve for x
    x = 518,766,396.83/23,472
  6. Step 6: Final answer
    x = 22,101.50

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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.