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Finding the Fourth Proportional to 15,902.32, 23,806.08 and 9,643.48

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Solution

The fourth proportional to 15,902.32, 23,806.08 and 9,643.48 is: 14,436.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,902.32 : 23,806.08 = 9,643.48 : x
  2. Step 2: Convert to fraction form
    15,902.32/23,806.08 = 9,643.48/x
  3. Step 3: Cross multiply
    15,902.32x = 23,806.08 × 9,643.48
  4. Step 4: Simplify right side
    15,902.32x = 229,573,456.36
  5. Step 5: Solve for x
    x = 229,573,456.36/15,902.32
  6. Step 6: Final answer
    x = 14,436.48

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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.