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Finding the Fourth Proportional to 16,320, 24,480.48 and 4,008

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Solution

The fourth proportional to 16,320, 24,480.48 and 4,008 is: 6,012.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,320 : 24,480.48 = 4,008 : x
  2. Step 2: Convert to fraction form
    16,320/24,480.48 = 4,008/x
  3. Step 3: Cross multiply
    16,320x = 24,480.48 × 4,008
  4. Step 4: Simplify right side
    16,320x = 98,117,763.84
  5. Step 5: Solve for x
    x = 98,117,763.84/16,320
  6. Step 6: Final answer
    x = 6,012.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.