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Finding the Fourth Proportional to 15,735.46, 23,606.44 and 13,156.42

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Solution

The fourth proportional to 15,735.46, 23,606.44 and 13,156.42 is: 19,737.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,735.46 : 23,606.44 = 13,156.42 : x
  2. Step 2: Convert to fraction form
    15,735.46/23,606.44 = 13,156.42/x
  3. Step 3: Cross multiply
    15,735.46x = 23,606.44 × 13,156.42
  4. Step 4: Simplify right side
    15,735.46x = 310,576,239.34
  5. Step 5: Solve for x
    x = 310,576,239.34/15,735.46
  6. Step 6: Final answer
    x = 19,737.35

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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.