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Finding the Fourth Proportional to 15,102.65, 20,842.04 and 8,388.23

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Solution

The fourth proportional to 15,102.65, 20,842.04 and 8,388.23 is: 11,575.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,102.65 : 20,842.04 = 8,388.23 : x
  2. Step 2: Convert to fraction form
    15,102.65/20,842.04 = 8,388.23/x
  3. Step 3: Cross multiply
    15,102.65x = 20,842.04 × 8,388.23
  4. Step 4: Simplify right side
    15,102.65x = 174,827,741.95
  5. Step 5: Solve for x
    x = 174,827,741.95/15,102.65
  6. Step 6: Final answer
    x = 11,575.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.