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Finding the Fourth Proportional to 15,777.12, 23,631.12 and 9,608.16

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Solution

The fourth proportional to 15,777.12, 23,631.12 and 9,608.16 is: 14,391.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,777.12 : 23,631.12 = 9,608.16 : x
  2. Step 2: Convert to fraction form
    15,777.12/23,631.12 = 9,608.16/x
  3. Step 3: Cross multiply
    15,777.12x = 23,631.12 × 9,608.16
  4. Step 4: Simplify right side
    15,777.12x = 227,051,581.94
  5. Step 5: Solve for x
    x = 227,051,581.94/15,777.12
  6. Step 6: Final answer
    x = 14,391.19

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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.