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Finding the Fourth Proportional to 17,853.81, 24,639.03 and 9,896.04

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Solution

The fourth proportional to 17,853.81, 24,639.03 and 9,896.04 is: 13,656.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,853.81 : 24,639.03 = 9,896.04 : x
  2. Step 2: Convert to fraction form
    17,853.81/24,639.03 = 9,896.04/x
  3. Step 3: Cross multiply
    17,853.81x = 24,639.03 × 9,896.04
  4. Step 4: Simplify right side
    17,853.81x = 243,828,826.44
  5. Step 5: Solve for x
    x = 243,828,826.44/17,853.81
  6. Step 6: Final answer
    x = 13,656.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.