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Finding the Fourth Proportional to 17,870.63, 24,659.24 and 9,911.77

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Solution

The fourth proportional to 17,870.63, 24,659.24 and 9,911.77 is: 13,677.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,870.63 : 24,659.24 = 9,911.77 : x
  2. Step 2: Convert to fraction form
    17,870.63/24,659.24 = 9,911.77/x
  3. Step 3: Cross multiply
    17,870.63x = 24,659.24 × 9,911.77
  4. Step 4: Simplify right side
    17,870.63x = 244,416,604.05
  5. Step 5: Solve for x
    x = 244,416,604.05/17,870.63
  6. Step 6: Final answer
    x = 13,677.00

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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.