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Finding the Fourth Proportional to 17,827.09, 24,600.04 and 9,869.45

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Solution

The fourth proportional to 17,827.09, 24,600.04 and 9,869.45 is: 13,619.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,827.09 : 24,600.04 = 9,869.45 : x
  2. Step 2: Convert to fraction form
    17,827.09/24,600.04 = 9,869.45/x
  3. Step 3: Cross multiply
    17,827.09x = 24,600.04 × 9,869.45
  4. Step 4: Simplify right side
    17,827.09x = 242,788,717.10
  5. Step 5: Solve for x
    x = 242,788,717.10/17,827.09
  6. Step 6: Final answer
    x = 13,619.09

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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.