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Finding the Fourth Proportional to 17,854.63, 24,639.01 and 9,896.78

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Solution

The fourth proportional to 17,854.63, 24,639.01 and 9,896.78 is: 13,657.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,854.63 : 24,639.01 = 9,896.78 : x
  2. Step 2: Convert to fraction form
    17,854.63/24,639.01 = 9,896.78/x
  3. Step 3: Cross multiply
    17,854.63x = 24,639.01 × 9,896.78
  4. Step 4: Simplify right side
    17,854.63x = 243,846,898.24
  5. Step 5: Solve for x
    x = 243,846,898.24/17,854.63
  6. Step 6: Final answer
    x = 13,657.35

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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.