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Finding the Fourth Proportional to 17,586.95, 24,269.06 and 9,627.65

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Solution

The fourth proportional to 17,586.95, 24,269.06 and 9,627.65 is: 13,285.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,586.95 : 24,269.06 = 9,627.65 : x
  2. Step 2: Convert to fraction form
    17,586.95/24,269.06 = 9,627.65/x
  3. Step 3: Cross multiply
    17,586.95x = 24,269.06 × 9,627.65
  4. Step 4: Simplify right side
    17,586.95x = 233,653,918.23
  5. Step 5: Solve for x
    x = 233,653,918.23/17,586.95
  6. Step 6: Final answer
    x = 13,285.64

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