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Finding the Fourth Proportional to 14,128.32, 21,184.07 and 4,766.04

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Solution

The fourth proportional to 14,128.32, 21,184.07 and 4,766.04 is: 7,146.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,128.32 : 21,184.07 = 4,766.04 : x
  2. Step 2: Convert to fraction form
    14,128.32/21,184.07 = 4,766.04/x
  3. Step 3: Cross multiply
    14,128.32x = 21,184.07 × 4,766.04
  4. Step 4: Simplify right side
    14,128.32x = 100,964,019.06
  5. Step 5: Solve for x
    x = 100,964,019.06/14,128.32
  6. Step 6: Final answer
    x = 7,146.22

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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.