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Finding the Fourth Proportional to 17,586.86, 24,269.86 and 9,629.08

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Solution

The fourth proportional to 17,586.86, 24,269.86 and 9,629.08 is: 13,288.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,586.86 : 24,269.86 = 9,629.08 : x
  2. Step 2: Convert to fraction form
    17,586.86/24,269.86 = 9,629.08/x
  3. Step 3: Cross multiply
    17,586.86x = 24,269.86 × 9,629.08
  4. Step 4: Simplify right side
    17,586.86x = 233,696,320.73
  5. Step 5: Solve for x
    x = 233,696,320.73/17,586.86
  6. Step 6: Final answer
    x = 13,288.12

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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.