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Finding the Fourth Proportional to 15,983.96, 23,970.75 and 7,549.16

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Solution

The fourth proportional to 15,983.96, 23,970.75 and 7,549.16 is: 11,321.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,983.96 : 23,970.75 = 7,549.16 : x
  2. Step 2: Convert to fraction form
    15,983.96/23,970.75 = 7,549.16/x
  3. Step 3: Cross multiply
    15,983.96x = 23,970.75 × 7,549.16
  4. Step 4: Simplify right side
    15,983.96x = 180,959,027.07
  5. Step 5: Solve for x
    x = 180,959,027.07/15,983.96
  6. Step 6: Final answer
    x = 11,321.29

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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.