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Finding the Fourth Proportional to 17,827.78, 24,602.59 and 9,870

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Solution

The fourth proportional to 17,827.78, 24,602.59 and 9,870 is: 13,620.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,827.78 : 24,602.59 = 9,870 : x
  2. Step 2: Convert to fraction form
    17,827.78/24,602.59 = 9,870/x
  3. Step 3: Cross multiply
    17,827.78x = 24,602.59 × 9,870
  4. Step 4: Simplify right side
    17,827.78x = 242,827,563.30
  5. Step 5: Solve for x
    x = 242,827,563.30/17,827.78
  6. Step 6: Final answer
    x = 13,620.74

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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.