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Finding the Fourth Proportional to 17,822.57, 24,594.77 and 9,864.32

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Solution

The fourth proportional to 17,822.57, 24,594.77 and 9,864.32 is: 13,612.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,822.57 : 24,594.77 = 9,864.32 : x
  2. Step 2: Convert to fraction form
    17,822.57/24,594.77 = 9,864.32/x
  3. Step 3: Cross multiply
    17,822.57x = 24,594.77 × 9,864.32
  4. Step 4: Simplify right side
    17,822.57x = 242,610,583.29
  5. Step 5: Solve for x
    x = 242,610,583.29/17,822.57
  6. Step 6: Final answer
    x = 13,612.55

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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.