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Finding the Fourth Proportional to 17,587.46, 24,271 and 9,629.56

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Solution

The fourth proportional to 17,587.46, 24,271 and 9,629.56 is: 13,288.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,587.46 : 24,271 = 9,629.56 : x
  2. Step 2: Convert to fraction form
    17,587.46/24,271 = 9,629.56/x
  3. Step 3: Cross multiply
    17,587.46x = 24,271 × 9,629.56
  4. Step 4: Simplify right side
    17,587.46x = 233,719,050.76
  5. Step 5: Solve for x
    x = 233,719,050.76/17,587.46
  6. Step 6: Final answer
    x = 13,288.96

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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.