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Finding the Fourth Proportional to 15,700.96, 23,549.01 and 10,193.37

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Solution

The fourth proportional to 15,700.96, 23,549.01 and 10,193.37 is: 15,288.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,700.96 : 23,549.01 = 10,193.37 : x
  2. Step 2: Convert to fraction form
    15,700.96/23,549.01 = 10,193.37/x
  3. Step 3: Cross multiply
    15,700.96x = 23,549.01 × 10,193.37
  4. Step 4: Simplify right side
    15,700.96x = 240,043,772.06
  5. Step 5: Solve for x
    x = 240,043,772.06/15,700.96
  6. Step 6: Final answer
    x = 15,288.48

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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.