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Finding the Fourth Proportional to 23,586.72, 35,384.40 and 9,728.16

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Solution

The fourth proportional to 23,586.72, 35,384.40 and 9,728.16 is: 14,594.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,586.72 : 35,384.40 = 9,728.16 : x
  2. Step 2: Convert to fraction form
    23,586.72/35,384.40 = 9,728.16/x
  3. Step 3: Cross multiply
    23,586.72x = 35,384.40 × 9,728.16
  4. Step 4: Simplify right side
    23,586.72x = 344,225,104.70
  5. Step 5: Solve for x
    x = 344,225,104.70/23,586.72
  6. Step 6: Final answer
    x = 14,594.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.