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Finding the Fourth Proportional to 17,586.39, 24,269.22 and 9,629.10

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Solution

The fourth proportional to 17,586.39, 24,269.22 and 9,629.10 is: 13,288.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,586.39 : 24,269.22 = 9,629.10 : x
  2. Step 2: Convert to fraction form
    17,586.39/24,269.22 = 9,629.10/x
  3. Step 3: Cross multiply
    17,586.39x = 24,269.22 × 9,629.10
  4. Step 4: Simplify right side
    17,586.39x = 233,690,746.30
  5. Step 5: Solve for x
    x = 233,690,746.30/17,586.39
  6. Step 6: Final answer
    x = 13,288.16

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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.