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Finding the Fourth Proportional to 15,842.08, 23,764.08 and 9,263.20

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Solution

The fourth proportional to 15,842.08, 23,764.08 and 9,263.20 is: 13,895.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,842.08 : 23,764.08 = 9,263.20 : x
  2. Step 2: Convert to fraction form
    15,842.08/23,764.08 = 9,263.20/x
  3. Step 3: Cross multiply
    15,842.08x = 23,764.08 × 9,263.20
  4. Step 4: Simplify right side
    15,842.08x = 220,131,425.86
  5. Step 5: Solve for x
    x = 220,131,425.86/15,842.08
  6. Step 6: Final answer
    x = 13,895.36

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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.