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Finding the Fourth Proportional to 17,464.60, 24,115.08 and 13,965.40

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Solution

The fourth proportional to 17,464.60, 24,115.08 and 13,965.40 is: 19,283.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,464.60 : 24,115.08 = 13,965.40 : x
  2. Step 2: Convert to fraction form
    17,464.60/24,115.08 = 13,965.40/x
  3. Step 3: Cross multiply
    17,464.60x = 24,115.08 × 13,965.40
  4. Step 4: Simplify right side
    17,464.60x = 336,776,738.23
  5. Step 5: Solve for x
    x = 336,776,738.23/17,464.60
  6. Step 6: Final answer
    x = 19,283.39

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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.