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Finding the Fourth Proportional to 15,745.96, 23,602.74 and 6,985

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Solution

The fourth proportional to 15,745.96, 23,602.74 and 6,985 is: 10,470.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,745.96 : 23,602.74 = 6,985 : x
  2. Step 2: Convert to fraction form
    15,745.96/23,602.74 = 6,985/x
  3. Step 3: Cross multiply
    15,745.96x = 23,602.74 × 6,985
  4. Step 4: Simplify right side
    15,745.96x = 164,865,138.90
  5. Step 5: Solve for x
    x = 164,865,138.90/15,745.96
  6. Step 6: Final answer
    x = 10,470.31

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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.