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Finding the Fourth Proportional to 17,624, 24,318.88 and 9,664.14

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Solution

The fourth proportional to 17,624, 24,318.88 and 9,664.14 is: 13,335.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,624 : 24,318.88 = 9,664.14 : x
  2. Step 2: Convert to fraction form
    17,624/24,318.88 = 9,664.14/x
  3. Step 3: Cross multiply
    17,624x = 24,318.88 × 9,664.14
  4. Step 4: Simplify right side
    17,624x = 235,021,060.96
  5. Step 5: Solve for x
    x = 235,021,060.96/17,624
  6. Step 6: Final answer
    x = 13,335.28

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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.