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Finding the Fourth Proportional to 24,965, 34,451.74 and 13,787

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Solution

The fourth proportional to 24,965, 34,451.74 and 13,787 is: 19,026.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,965 : 34,451.74 = 13,787 : x
  2. Step 2: Convert to fraction form
    24,965/34,451.74 = 13,787/x
  3. Step 3: Cross multiply
    24,965x = 34,451.74 × 13,787
  4. Step 4: Simplify right side
    24,965x = 474,986,139.38
  5. Step 5: Solve for x
    x = 474,986,139.38/24,965
  6. Step 6: Final answer
    x = 19,026.08

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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.