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Finding the Fourth Proportional to 17,877.75, 24,671.30 and 11,590.13

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Solution

The fourth proportional to 17,877.75, 24,671.30 and 11,590.13 is: 15,994.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,877.75 : 24,671.30 = 11,590.13 : x
  2. Step 2: Convert to fraction form
    17,877.75/24,671.30 = 11,590.13/x
  3. Step 3: Cross multiply
    17,877.75x = 24,671.30 × 11,590.13
  4. Step 4: Simplify right side
    17,877.75x = 285,943,392.96
  5. Step 5: Solve for x
    x = 285,943,392.96/17,877.75
  6. Step 6: Final answer
    x = 15,994.37

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