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Finding the Fourth Proportional to 17,821.74, 24,594.39 and 9,864.51

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Solution

The fourth proportional to 17,821.74, 24,594.39 and 9,864.51 is: 13,613.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,821.74 : 24,594.39 = 9,864.51 : x
  2. Step 2: Convert to fraction form
    17,821.74/24,594.39 = 9,864.51/x
  3. Step 3: Cross multiply
    17,821.74x = 24,594.39 × 9,864.51
  4. Step 4: Simplify right side
    17,821.74x = 242,611,606.10
  5. Step 5: Solve for x
    x = 242,611,606.10/17,821.74
  6. Step 6: Final answer
    x = 13,613.24

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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.