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Finding the Fourth Proportional to 15,832.45, 23,743.05 and 7,510.87

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Solution

The fourth proportional to 15,832.45, 23,743.05 and 7,510.87 is: 11,263.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,832.45 : 23,743.05 = 7,510.87 : x
  2. Step 2: Convert to fraction form
    15,832.45/23,743.05 = 7,510.87/x
  3. Step 3: Cross multiply
    15,832.45x = 23,743.05 × 7,510.87
  4. Step 4: Simplify right side
    15,832.45x = 178,330,961.95
  5. Step 5: Solve for x
    x = 178,330,961.95/15,832.45
  6. Step 6: Final answer
    x = 11,263.64

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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.