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Finding the Fourth Proportional to 24,677, 34,054.80 and 13,499

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Solution

The fourth proportional to 24,677, 34,054.80 and 13,499 is: 18,628.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,677 : 34,054.80 = 13,499 : x
  2. Step 2: Convert to fraction form
    24,677/34,054.80 = 13,499/x
  3. Step 3: Cross multiply
    24,677x = 34,054.80 × 13,499
  4. Step 4: Simplify right side
    24,677x = 459,705,745.20
  5. Step 5: Solve for x
    x = 459,705,745.20/24,677
  6. Step 6: Final answer
    x = 18,628.92

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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.