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Finding the Fourth Proportional to 17,644.81, 24,349.88 and 9,687.55

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Solution

The fourth proportional to 17,644.81, 24,349.88 and 9,687.55 is: 13,368.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,644.81 : 24,349.88 = 9,687.55 : x
  2. Step 2: Convert to fraction form
    17,644.81/24,349.88 = 9,687.55/x
  3. Step 3: Cross multiply
    17,644.81x = 24,349.88 × 9,687.55
  4. Step 4: Simplify right side
    17,644.81x = 235,890,619.12
  5. Step 5: Solve for x
    x = 235,890,619.12/17,644.81
  6. Step 6: Final answer
    x = 13,368.84

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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.