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Finding the Fourth Proportional to 16,672, 23,005.36 and 9,600.72

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Solution

The fourth proportional to 16,672, 23,005.36 and 9,600.72 is: 13,247.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,672 : 23,005.36 = 9,600.72 : x
  2. Step 2: Convert to fraction form
    16,672/23,005.36 = 9,600.72/x
  3. Step 3: Cross multiply
    16,672x = 23,005.36 × 9,600.72
  4. Step 4: Simplify right side
    16,672x = 220,868,019.86
  5. Step 5: Solve for x
    x = 220,868,019.86/16,672
  6. Step 6: Final answer
    x = 13,247.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.