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Finding the Fourth Proportional to 23,232.96, 34,803 and 10,735.74

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Solution

The fourth proportional to 23,232.96, 34,803 and 10,735.74 is: 16,082.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,232.96 : 34,803 = 10,735.74 : x
  2. Step 2: Convert to fraction form
    23,232.96/34,803 = 10,735.74/x
  3. Step 3: Cross multiply
    23,232.96x = 34,803 × 10,735.74
  4. Step 4: Simplify right side
    23,232.96x = 373,635,959.22
  5. Step 5: Solve for x
    x = 373,635,959.22/23,232.96
  6. Step 6: Final answer
    x = 16,082.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.