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Finding the Fourth Proportional to 15,586.92, 23,379.54 and 5,057.46

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Solution

The fourth proportional to 15,586.92, 23,379.54 and 5,057.46 is: 7,585.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,586.92 : 23,379.54 = 5,057.46 : x
  2. Step 2: Convert to fraction form
    15,586.92/23,379.54 = 5,057.46/x
  3. Step 3: Cross multiply
    15,586.92x = 23,379.54 × 5,057.46
  4. Step 4: Simplify right side
    15,586.92x = 118,241,088.37
  5. Step 5: Solve for x
    x = 118,241,088.37/15,586.92
  6. Step 6: Final answer
    x = 7,585.92

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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.