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Finding the Fourth Proportional to 17,815.34, 24,585.40 and 9,857.54

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Solution

The fourth proportional to 17,815.34, 24,585.40 and 9,857.54 is: 13,603.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,815.34 : 24,585.40 = 9,857.54 : x
  2. Step 2: Convert to fraction form
    17,815.34/24,585.40 = 9,857.54/x
  3. Step 3: Cross multiply
    17,815.34x = 24,585.40 × 9,857.54
  4. Step 4: Simplify right side
    17,815.34x = 242,351,563.92
  5. Step 5: Solve for x
    x = 242,351,563.92/17,815.34
  6. Step 6: Final answer
    x = 13,603.53

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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.