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Finding the Fourth Proportional to 17,830.35, 24,605.91 and 9,873.77

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Solution

The fourth proportional to 17,830.35, 24,605.91 and 9,873.77 is: 13,625.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,830.35 : 24,605.91 = 9,873.77 : x
  2. Step 2: Convert to fraction form
    17,830.35/24,605.91 = 9,873.77/x
  3. Step 3: Cross multiply
    17,830.35x = 24,605.91 × 9,873.77
  4. Step 4: Simplify right side
    17,830.35x = 242,952,972.95
  5. Step 5: Solve for x
    x = 242,952,972.95/17,830.35
  6. Step 6: Final answer
    x = 13,625.81

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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.