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Finding the Fourth Proportional to 17,817.21, 24,587.15 and 9,859.77

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Solution

The fourth proportional to 17,817.21, 24,587.15 and 9,859.77 is: 13,606.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,817.21 : 24,587.15 = 9,859.77 : x
  2. Step 2: Convert to fraction form
    17,817.21/24,587.15 = 9,859.77/x
  3. Step 3: Cross multiply
    17,817.21x = 24,587.15 × 9,859.77
  4. Step 4: Simplify right side
    17,817.21x = 242,423,594.66
  5. Step 5: Solve for x
    x = 242,423,594.66/17,817.21
  6. Step 6: Final answer
    x = 13,606.15

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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.