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Finding the Fourth Proportional to 15,474, 21,368.70 and 10,771.14

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Solution

The fourth proportional to 15,474, 21,368.70 and 10,771.14 is: 14,874.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,474 : 21,368.70 = 10,771.14 : x
  2. Step 2: Convert to fraction form
    15,474/21,368.70 = 10,771.14/x
  3. Step 3: Cross multiply
    15,474x = 21,368.70 × 10,771.14
  4. Step 4: Simplify right side
    15,474x = 230,165,259.32
  5. Step 5: Solve for x
    x = 230,165,259.32/15,474
  6. Step 6: Final answer
    x = 14,874.32

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Why These Related Problems?

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