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Finding the Fourth Proportional to 17,822.72, 24,592.78 and 9,864.93

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Solution

The fourth proportional to 17,822.72, 24,592.78 and 9,864.93 is: 13,612.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,822.72 : 24,592.78 = 9,864.93 : x
  2. Step 2: Convert to fraction form
    17,822.72/24,592.78 = 9,864.93/x
  3. Step 3: Cross multiply
    17,822.72x = 24,592.78 × 9,864.93
  4. Step 4: Simplify right side
    17,822.72x = 242,606,070.23
  5. Step 5: Solve for x
    x = 242,606,070.23/17,822.72
  6. Step 6: Final answer
    x = 13,612.18

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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.