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Finding the Fourth Proportional to 15,724, 23,586.00 and 4,037.22

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Solution

The fourth proportional to 15,724, 23,586.00 and 4,037.22 is: 6,055.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,724 : 23,586.00 = 4,037.22 : x
  2. Step 2: Convert to fraction form
    15,724/23,586.00 = 4,037.22/x
  3. Step 3: Cross multiply
    15,724x = 23,586.00 × 4,037.22
  4. Step 4: Simplify right side
    15,724x = 95,221,732.80
  5. Step 5: Solve for x
    x = 95,221,732.80/15,724
  6. Step 6: Final answer
    x = 6,055.82

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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.