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Finding the Fourth Proportional to 14,126.16, 21,189.84 and 4,766.40

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Solution

The fourth proportional to 14,126.16, 21,189.84 and 4,766.40 is: 7,149.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,126.16 : 21,189.84 = 4,766.40 : x
  2. Step 2: Convert to fraction form
    14,126.16/21,189.84 = 4,766.40/x
  3. Step 3: Cross multiply
    14,126.16x = 21,189.84 × 4,766.40
  4. Step 4: Simplify right side
    14,126.16x = 100,999,253.38
  5. Step 5: Solve for x
    x = 100,999,253.38/14,126.16
  6. Step 6: Final answer
    x = 7,149.80

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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.