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Finding the Fourth Proportional to 17,822.44, 24,594.60 and 9,864.19

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Solution

The fourth proportional to 17,822.44, 24,594.60 and 9,864.19 is: 13,612.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,822.44 : 24,594.60 = 9,864.19 : x
  2. Step 2: Convert to fraction form
    17,822.44/24,594.60 = 9,864.19/x
  3. Step 3: Cross multiply
    17,822.44x = 24,594.60 × 9,864.19
  4. Step 4: Simplify right side
    17,822.44x = 242,605,807.37
  5. Step 5: Solve for x
    x = 242,605,807.37/17,822.44
  6. Step 6: Final answer
    x = 13,612.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.