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Finding the Fourth Proportional to 14,114.49, 21,164.16 and 4,751.40

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Solution

The fourth proportional to 14,114.49, 21,164.16 and 4,751.40 is: 7,124.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,114.49 : 21,164.16 = 4,751.40 : x
  2. Step 2: Convert to fraction form
    14,114.49/21,164.16 = 4,751.40/x
  3. Step 3: Cross multiply
    14,114.49x = 21,164.16 × 4,751.40
  4. Step 4: Simplify right side
    14,114.49x = 100,559,389.82
  5. Step 5: Solve for x
    x = 100,559,389.82/14,114.49
  6. Step 6: Final answer
    x = 7,124.55

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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.