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Finding the Fourth Proportional to 17,822.07, 24,594.15 and 9,864.12

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Solution

The fourth proportional to 17,822.07, 24,594.15 and 9,864.12 is: 13,612.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,822.07 : 24,594.15 = 9,864.12 : x
  2. Step 2: Convert to fraction form
    17,822.07/24,594.15 = 9,864.12/x
  3. Step 3: Cross multiply
    17,822.07x = 24,594.15 × 9,864.12
  4. Step 4: Simplify right side
    17,822.07x = 242,599,646.90
  5. Step 5: Solve for x
    x = 242,599,646.90/17,822.07
  6. Step 6: Final answer
    x = 13,612.32

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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.