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Finding the Fourth Proportional to 24,740, 34,141.32 and 14,804

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Solution

The fourth proportional to 24,740, 34,141.32 and 14,804 is: 20,429.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,740 : 34,141.32 = 14,804 : x
  2. Step 2: Convert to fraction form
    24,740/34,141.32 = 14,804/x
  3. Step 3: Cross multiply
    24,740x = 34,141.32 × 14,804
  4. Step 4: Simplify right side
    24,740x = 505,428,101.28
  5. Step 5: Solve for x
    x = 505,428,101.28/24,740
  6. Step 6: Final answer
    x = 20,429.59

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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.